{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# The First Step in Bayesian Time Series— Linear Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction\n",
    "\n",
    "Today time series forecasting is ubiquitous, and decision-making processes in companies depend heavily on their ability to predict the future. Through a short series of articles I will present you with a possible approach to this kind of problems, combining state-space models with Bayesian statistics.\n",
    "\n",
    "In the initial articles, I will take some of the examples from the book An Introduction to State Space Time Series Analysis from Jacques J.F. Commandeur and Siem Jan Koopman [1]. It comprises a well-known introduction to the subject of state-space modeling applied to the time series domain.\n",
    "\n",
    "My contributions will be:\n",
    "\n",
    "* A very humble attempt to close the gap between these two fields in terms of introductory and intermediate materials.\n",
    "* The presentation of concepts: on the one hand, a concise (not non-existent) mathematical basis to support our theoretical understanding and, on the other hand, an implementation from scratch of the algorithms (whenever possible, avoiding “black box” libraries). In my opinion, it is the best way to make sure that we can grasp an idea.\n",
    "* The proper implementation of the proposed models using PyMC3 as well as their interpretation and discussion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Linear regression\n",
    "\n",
    "In classical regression analysis, it is assumed a linear relationship between a dependent variable $y$ and a predictor variable $x$. The standard regression model for $n$ observations of $y$ (denoted by $y_i$ for $i= 1, …,n$) and $x$ (denoted by $x_i$ for $i= 1,…,n$) can be written as,\n",
    "\n",
    "$$ y_i = \\alpha + \\beta x_i + \\epsilon_i, \\quad ϵ_i \\sim NID(0, σ_\\epsilon^2) $$\n",
    "\n",
    "where the $ϵ_i \\sim NID(0, σ_ϵ^2)$ states the assumption that the residuals (or errors) $\\epsilon$ are normally and independently distributed with mean equal to zero and variance equal to $\\sigma^2_\\epsilon$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.1 The data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This dataset comprises the monthly number of drivers killed or seriously injured (KSI) in the UK for the period January 1969 to December 1984, and you can find it here.\n",
    "\n",
    "We will be using the log number of deaths. The log transformation can be used to turn highly skewed distributions into less skewed ones. This can be valuable both to make patterns in the data more easily interpretable and to help meeting the assumptions of inferential statistics. We will see what this means later on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import stats\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import pymc3 as pm\n",
    "import arviz as az\n",
    "import warnings\n",
    "az.style.use('arviz-darkgrid')\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "ukdrivers = np.genfromtxt('./data/UKdriversKSI.txt', skip_header=True)\n",
    "y = np.log(ukdrivers)\n",
    "t = np.arange(1,len(y)+1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In our case our independent variable is just time."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.2 Classical approach\n",
    "\n",
    "The regression model has two unknown parameters that can be estimated with the least-squares method. It returns the values of $\\alpha$ and $\\beta$ that yield the lowest average quadratic error between the observed $y$ and the predicted $\\hat y$.\n",
    "\n",
    "$$\\min_{\\alpha, \\beta} S(\\alpha, \\beta), \\quad \\textrm{for} \\: S(\\alpha, \\beta) = \\sum^n_{i=1}\\hat \\epsilon^2 = \\sum^n_{i=1}(y_i - \\alpha - \\beta x_i)^2 $$\n",
    "\n",
    "The goal is to find the values of $\\hat \\alpha$ and $\\hat \\beta$ that minimize the error. For that, we just to take the partial derivatives for each parameter and make it equal to zero as follows,\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\frac{\\partial S}{\\partial \\alpha} = 0, \\quad \\frac{\\partial S}{\\partial \\beta} = 0 \n",
    "\\end{aligned}$$\n",
    "\n",
    "After computing the equations above, we get the following,\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\hat \\beta &= \\frac{\\sum^n_{i=1}(x_i - \\bar x)(y_i - \\bar y)}{\\sum^n_{i=1}(x_i - \\bar x)^2} \\\\\n",
    "\\hat \\alpha &= \\bar y - \\hat \\beta \\bar x\n",
    "\\end{aligned}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Least Squares\n",
      "\n",
      "̂α: 7.545842731731763\n",
      "̂β: -0.0014480324206279402\n"
     ]
    }
   ],
   "source": [
    "print('Least Squares\\n')\n",
    "β_hat = np.sum((t - t.mean())*((y - y.mean()))) / np.sum((t - t.mean())**2)\n",
    "α_hat = y.mean() - β_hat*t.mean()\n",
    "print(\"\\u0302α: \" + str(α_hat))\n",
    "print(\"\\u0302β: \" + str(β_hat))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(t, y, 'C0.')\n",
    "\n",
    "plt.plot(t, α_hat + β_hat *t, c='k',\n",
    "        label=f'y = {α_hat:.4f} + {β_hat:.4f}*x')\n",
    "\n",
    "plt.ylabel('log UK drivers KSI')\n",
    "plt.xlabel('Time (in months)', rotation=0)\n",
    "\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The error variance using least squares estimate can be calculated using\n",
    "\n",
    "$$\\hat\\sigma^2_\\epsilon = \\sum^n_{i=1} (y_i - \\hat \\alpha - \\hat \\beta x_i)^2 / (n-2)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.022998056021100423"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sum((y - α_hat - β_hat * t)**2/(len(y)-2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. The Bayesian way"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Bayes theorem without context could work as a mousetrap. Despite the relatively simple and widely known equation, there is a lot of intuition behind it. I once read that it could be seen as a lens to perceive the world. I would say that it shows a different perspective. There are useful resources to get that intuition; therefore, I will not focus too much on it. Our scope of work is on its practical aspects, making it work for our advantage. First, let’s briefly define its components.\n",
    "\n",
    "$$ \\textrm{posterior} = \\frac{\\textrm{likelihood}\\times \\textrm{prior}}{\\textrm{normalization}}$$\n",
    "\n",
    "We are starting with the basics: the *prior* is the probability of something happening before we include the probability of the data (the *likelihood*), and the *posterior* is the probability after incorporating the data.\n",
    "\n",
    "Bayes theorem [[*2*]](https://en.wikipedia.org/wiki/Bayes%27_theorem) is written as\n",
    "\n",
    "$$P(A\\mid B) = \\frac{P(B\\mid A)\\, P(A)}{P(B)}$$\n",
    "\n",
    "In the equation above, $P(B)$ is the evidence, $P(A)$ is the prior, $P(B | A)$ is the likelihood, and $P(A | B)$ is the posterior. $P(A | B)$ is the probability of $A$ happening if $B$ has happened. We can plug into the equation both probabilities and probability distributions (more important to our present work)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.1 Model definition\n",
    "\n",
    "Now, it is time to define our simple linear regression as a probabilistic model. We will assume that the data follow a Gaussian distribution with a mean of $\\alpha + \\beta x$ and a standard deviation of $\\epsilon$, as follows\n",
    "\n",
    "$$\\mathrm{Y} \\sim \\mathcal{N}(\\mu = \\alpha + x \\beta, \\epsilon)$$\n",
    "\n",
    "We are essentially choosing our likelihood, i.e., we assigned a distribution function to our observed variable (data). As a next step, we need to define our priors. For every parameter (our unobserved variables), we need to define a prior distribution. Think of it as a prior belief or, in the case that you have previous estimates of the parameter, those previous estimates become the prior. Since we don’t know much about the parameters, let’s define some generic distributions\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\alpha &\\sim \\mathcal{N}(\\mu_\\alpha, \\sigma_\\alpha) \\\\\n",
    "\\beta &\\sim \\mathcal{N}(\\mu_\\beta, \\sigma_\\beta) \\\\\n",
    "\\epsilon &\\sim |\\mathcal{N}(0, \\sigma_\\epsilon)| \n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "As it is our first model, we are going to be vague about our choices. In Bayesian terms, this means that we will be using flat priors. Working with the basics of our understanding of the model, we know that ϵ can’t be a negative number, and our slope is relatively small. We will be refining our way of choosing priors later. When applying these ideas, we will only use Gaussian and Half-Gaussian distributions\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\alpha &\\sim \\mathcal{N}(0, 10) \\\\\n",
    "\\beta &\\sim \\mathcal{N}(0, 1) \\\\\n",
    "\\epsilon &\\sim |\\mathcal{N}(0, 5)| \n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "\n",
    "Let’s plot these distributions for a better understanding of what we mean by a flat distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, ax = plt.subplots(1,1)\n",
    "\n",
    "x = np.linspace(-15,15,1000)\n",
    "ax.plot(x,stats.norm.pdf(x,0,10), label='α')\n",
    "ax.plot(x,stats.norm.pdf(x,0,1), label='β');\n",
    "ax.plot(x,stats.halfnorm.pdf(x,0,5), label='ϵ')\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see above that we are not informing our Bayesian model about what the values of our parameters could be. It means that the data will have a substantial impact on our posterior distributions. We will learn in the future how to reflect our prior choices in our observable variable without seeing the data. We call this model step the *prior predictive check*, and it helps in diagnosing poor modeling choices."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 Model checking\n",
    "\n",
    "We always like to start by generating our own data and ensuring that the model is well specified. It brings significant value to more complex models, but we will be using this approach as a good practice in all examples.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 200\n",
    "true_α = 3\n",
    "true_β = 0.2\n",
    "true_ϵ = 0.2\n",
    "ϵ = np.random.normal(0, 0.2, n)\n",
    "\n",
    "x = np.random.normal(10, 1, n)\n",
    "true_Y = true_α + true_β * x\n",
    "Y = true_Y + ϵ\n",
    "\n",
    "_, ax = plt.subplots(1,2,figsize=(8,4))\n",
    "ax[0].plot(x, Y, 'o')\n",
    "ax[0].set_xlabel('x')\n",
    "ax[0].set_ylabel('y', rotation=0)\n",
    "ax[0].plot(x, true_Y, 'k')\n",
    "az.plot_kde(y, ax=ax[1])\n",
    "ax[1].set_xlabel('y')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see above the data that we generated and the fitted line that we are expecting to recover from it, i.e., we want to get our true parameters back from the data.\n",
    "\n",
    "PyMC3 lets us translate the model that we defined above in a very clean matter. First, we define the prior distributions of our parameters, followed by the likelihood. And we are ready to sample!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [ϵ, β, α]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "        <style>\n",
       "            /* Turns off some styling */\n",
       "            progress {\n",
       "                /* gets rid of default border in Firefox and Opera. */\n",
       "                border: none;\n",
       "                /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "                background-size: auto;\n",
       "            }\n",
       "            .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "                background: #F44336;\n",
       "            }\n",
       "        </style>\n",
       "      <progress value='20000' class='' max='20000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [20000/20000 00:17<00:00 Sampling 4 chains, 0 divergences]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 3_000 tune and 2_000 draw iterations (12_000 + 8_000 draws total) took 18 seconds.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_l:\n",
    "    \n",
    "    # priors\n",
    "    α = pm.Normal('α', mu=0, sigma=10)\n",
    "    β = pm.Normal('β', mu=0, sigma=1)\n",
    "    ϵ = pm.HalfNormal('ϵ', 5)\n",
    "    \n",
    "    # likelihood\n",
    "    y_pred = pm.Normal('y_pred', mu=α + β*x, sd=ϵ, observed=Y)\n",
    "    trace_l = pm.sample(\n",
    "        2000,\n",
    "        tune=3000\n",
    "    )\n",
    "    idata = az.from_pymc3(trace_l)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_trace(\n",
    "    idata,\n",
    "    var_names=['α', 'β', 'ϵ'],\n",
    "    lines=[\n",
    "        (\"α\",{}, true_α),\n",
    "        (\"β\",{}, true_β),\n",
    "        (\"ϵ\",{}, true_ϵ),\n",
    "    ],\n",
    ");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will understand these plots in much greater detail later, but I just wanted to show you that we are recovering our true values well. For now, focus on the distributions of the parameters (plots on the left). These are our posterior distributions of the parameters that we are estimating, and the vertical lines represent the true values. We can see that we are pretty close to those true values. Remember that we used flat priors, and we generated a relatively small dataset (200 points)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3 Model implementation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, it is time to apply our verified model to our data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [ϵ, β, α]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "        <style>\n",
       "            /* Turns off some styling */\n",
       "            progress {\n",
       "                /* gets rid of default border in Firefox and Opera. */\n",
       "                border: none;\n",
       "                /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "                background-size: auto;\n",
       "            }\n",
       "            .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "                background: #F44336;\n",
       "            }\n",
       "        </style>\n",
       "      <progress value='20000' class='' max='20000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [20000/20000 00:07<00:00 Sampling 4 chains, 0 divergences]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 3_000 tune and 2_000 draw iterations (12_000 + 8_000 draws total) took 8 seconds.\n",
      "The acceptance probability does not match the target. It is 0.7090830743724367, but should be close to 0.8. Try to increase the number of tuning steps.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model_l:\n",
    "    \n",
    "    # priors\n",
    "    α = pm.Normal('α', mu=0, sigma=10)\n",
    "    β = pm.Normal('β', mu=0, sigma=1)\n",
    "    ϵ = pm.HalfNormal('ϵ', 5)\n",
    "    \n",
    "    # likelihood\n",
    "    y_pred = pm.Normal('y_pred', mu=α + β*t, sd=ϵ, observed=y)\n",
    "    trace_l = pm.sample(\n",
    "        2000,\n",
    "        tune=3000\n",
    "    )\n",
    "    idata = az.from_pymc3(trace_l)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.4 Model visualization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another way to visualize our model and to ensure that we have correctly done the translation from the mathematical enunciation is to use Kruschke diagrams."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 2.40.1 (20161225.0304)\n",
       " -->\n",
       "<!-- Title: %3 Pages: 1 -->\n",
       "<svg width=\"327pt\" height=\"233pt\"\n",
       " viewBox=\"0.00 0.00 327.41 232.91\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 228.9066)\">\n",
       "<title>%3</title>\n",
       "<polygon fill=\"#ffffff\" stroke=\"transparent\" points=\"-4,4 -4,-228.9066 323.4092,-228.9066 323.4092,4 -4,4\"/>\n",
       "<g id=\"clust1\" class=\"cluster\">\n",
       "<title>cluster192</title>\n",
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       "<g id=\"node3\" class=\"node\">\n",
       "<title>ϵ</title>\n",
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       "<!-- ϵ&#45;&gt;y_pred -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>ϵ&#45;&gt;y_pred</title>\n",
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       "</svg>\n"
      ],
      "text/plain": [
       "<graphviz.dot.Digraph at 0x7fce2a5e7580>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.model_to_graphviz(model_l)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is easier for us to grasp our understanding of the model with the diagram above. Inside every node, we find both the variables and the distributions, e.g., check the circle that contains $\\epsilon$ and you can find the Half-Normal distribution defined earlier. The observed variable is represented by the shaded node. The rounded-corner box indicates repetition, i.e., we have 192 data points in our dataset, and we will be computing the likelihood for all of them. The arrows show the dependencies; in our case, our likelihood depends on the parameters $\\alpha$, $\\beta$, and $\\epsilon$.\n",
    "\n",
    "Now that we are confident that we have setup correctly our model, it is time to analyze our results. For that, let’s plot the results in a similar fashion as we did earlier with the classical approach."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(t, y, 'C0.')\n",
    "\n",
    "alpha_m = trace_l['α'].mean()\n",
    "beta_m = trace_l['β'].mean()\n",
    "\n",
    "draws = range(0, len(trace_l['α']), 10)\n",
    "plt.plot(t, trace_l['α'][draws] + trace_l['β'][draws] * t[:, np.newaxis], c='gray', alpha=0.5)\n",
    "\n",
    "plt.plot(t, alpha_m + beta_m *t, c='k',\n",
    "        label=f'y = {alpha_m:.4f} + {beta_m:.4f}*x')\n",
    "\n",
    "plt.ylabel('log UK drivers KSI')\n",
    "plt.xlabel('Time (in months)', rotation=0)\n",
    "\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first thing to notice is that the black line is very similar to the one that we got from the classical linear regression. As we already mentioned, we don’t get just point estimates but a distribution — our posterior distribution. The gray lines are there to represent our uncertainty about the estimation. I added them to make it more interesting and to give you a first glimpse of what we will be analyzing in the next articles."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.5 Bayesian vs classical approach\n",
    "\n",
    "For now, let’s compare the point estimates for both models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Bayesian model\n",
      "\n",
      "̂α: 7.546050895768653\n",
      "̂β: -0.0014494569493230078\n",
      "\n",
      "---\n",
      "\n",
      "Least Squares\n",
      "\n",
      "̂α: 7.545842731731764\n",
      "̂β: -0.0014480324206279495\n"
     ]
    }
   ],
   "source": [
    "print(\"Bayesian model\\n\")\n",
    "alpha_m = trace_l['α'].mean()\n",
    "print(\"\\u0302α: \" + str(alpha_m))\n",
    "beta_m = trace_l['β'].mean()\n",
    "print(\"\\u0302β: \" + str(beta_m))\n",
    "print('\\n---\\n')\n",
    "print('Least Squares\\n')\n",
    "b_hat = np.sum((t - t.mean())*y) / np.sum((t - t.mean())**2)\n",
    "a_hat = y.mean() - b_hat*t.mean()\n",
    "print(\"\\u0302α: \" + str(a_hat))\n",
    "print(\"\\u0302β: \" + str(b_hat))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let’s also check the standard deviation of our residuals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.023251359382951184"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "σ_error = trace_l['ϵ'].mean()\n",
    "σ_error**2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are really close! The reason why they yield similar results is that the point estimate obtained by the least-squares method is, in reality, the same thing as the *maximum a posteriori* (MAP) (the mode of the posterior) from a Bayesian linear regression using flat priors (as we did here). Later on we will deep dive into all of this."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Discussion\n",
    "\n",
    "One problem with our approach here is that we are violating a fundamental assumption of classical regression analysis. It is assumed that the observations y are independent of each other. It is not the case with our example because they are interrelated through time. To show that this is the case, let’s consider:\n",
    "\n",
    "* Plot the same graph for t and y, this time with a line connecting all the points;\n",
    "* Plot the residuals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(t, y)\n",
    "plt.ylabel('log UK drivers KSI')\n",
    "plt.xlabel('Time (in months)', rotation=0);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "residuals = y - (a_hat + b_hat*t)\n",
    "plt.plot(t, residuals)\n",
    "plt.plot(t, np.zeros(len(y)), '--', c='k', alpha=0.4)\n",
    "plt.ylabel('Residuals')\n",
    "plt.xlabel('Time (in months)', rotation=0);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On the one hand, we can see a clear pattern on our data and also that our residuals are far from being randomly distributed.\n",
    "\n",
    "Let’s look at other handy tools to diagnose the randomness of a set of observations. I’m talking about the correlogram, which contains the correlation between an observed series, and the same series shifted k time points into the future. For the least-squares case, remember that it is computed by\n",
    "\n",
    "$$\\hat \\epsilon_i = y_i - \\hat \\alpha - \\hat \\beta x_i$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's look to other tool very useful to diagnose the randomness of a set of observations. I'm talking about the *correlogram*, which contains the correlation between an observed series and the same series shifted $k$ time points into the future. Remember that for the least squares case it is computed by $\\hat \\epsilon_i = y_i - \\hat \\alpha - \\hat \\beta x_i$. Notice that we are using $t$ to simplify our understanding that the independent variable is nothing more than time.\n",
    "\n",
    "Notice that we are using $t$ to simplify our understanding that the independent variable is nothing more than time.\n",
    "\n",
    "By plotting the residuals against the residuals with a lag (time difference), we are plotting the same variable against itself — therefore, the name autocorrelations. We need to grasp this idea well, so it makes sense to lose a bit more time with this subject."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1. Correlation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we are going to introduce the concept of *covariance*. It describes how much two variables vary together. We could say that variance is a measure for how a population varies amongst themselves, and covariance is a measure for how much two variables change with each other.\n",
    "\n",
    "The equation for the covariance between X and Y is\n",
    "\n",
    "$$ \\mathrm{cov}(X, Y) = \\mathbb E\\big[(X-\\mu_x)(Y-\\mu_y)\\big]$$\n",
    "\n",
    "I'm using X and Y to simplify the subscripts but you know that for us $X$ is $Y_t$ and $Y$ is $Y_{t-1}$. The notation $\\mathbb E[Y]$ is nothing more than the *expected value* of Y. Assuming that each data point is equally likely, the probability of each is $\\frac{1}{n}$, giving\n",
    "\n",
    "$$\\mathbb E[Y] =  \\frac{1}{n}\\sum_{i=1}^n y_i$$\n",
    "\n",
    "for the discrete case, we will be considering. Certainly, you already spotted that this is simply the mean value of our time series (also denoted by $\\bar y$).\n",
    "\n",
    "Now that we understand the covariance, we can extend this idea to *correlation* (also known as Pearson correlation coefficient), which is simply the covariance normalized by the square root of the variances of our random variables. \n",
    "\n",
    "$$ \\rho_{X, Y} = \\mathrm{corr}(X, Y) = \\sigma_{xy} = \\frac{ \\mathbb E\\big[(X-\\mu_x)(Y-\\mu_y)\\big]}{\\sigma_X \\sigma_Y}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2 Autocorrelation\n",
    "\n",
    "For our problem (at least at this moment), we are not particularly interested in the correlation of two random variables but instead in one random variable with itself. Let’s create our series to be able to visualize it better. We have to ensure that it is not independent across time (creating the correlations that we want to check)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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nerJcHjzkL+AJIYSkFhTbhJCUIFT3xlglSAKydrZCNcfJyNDgMkWiy0qBggIplnNzNeRkBx6j8mwXFMgI+XcXy8coER+MqippZ+ntBdzuaN8JIYSQZIBNbQghKcHa3waP8MYqQRIwamoDsuyforxMJmUC0EsBKoqKpJ+7qwuYONHY3tMjlwW+yPvXvgKUl2mYNTP0GHJyNFRWCjQ2yug2G9sQQkjqwsg2ISQleGuzXJ79H/73xdJGUlNjFdiKL3zO2D4wYH2MspLYO0aqyLajQC41TcOF8zVMmTJyLXD12oFKChJCCEkdKLYJIUlPf7/Q61svu17DyjusYjWWYluV/wOMFu4AcPFFxmsWF1sfU1Iil6oRjqJ3FKUJnb7X6OyI/LGEEEKSB4ptQkjSs2s34PVKketyAZ88y3p/dnZ0XSMDUWMS2yVO632r79Nw6inAshusr1c7VS73NlitLrqNpCDycRT7XrujM/R+hBBCkht6tgkhSc/Kn0oRWztVWjEk8anSUVYKnDgb6O4GJk+23nfKyRpW3esv7KfVagAEGvZZt+sJklFE3vXIdqcAELuLCUIIIWMLxTYhJKkRQmD/frl++WX+ojOWFhJAivkHVslIemZmeCK3tlYuGxqMbeZ28lFFtoulgO9kZJsQQlIa2kgIIUmNxyNrWAPAuef436/80rFE07SwhTYgW7oDwNFGYHhYRtw9HiPyHs0FgYps00ZCCCGpDcU2ISSpUbWrc3JkTWuFqgDy6bMTMCgb5WVAZiYwNAS0+lqsq1btmZly7JGiPNuMbBNCSGpDsU0ISWo6fWJbiWvFg6s0fOdqDd++MvF+5sxMTe88ee11AkIIdPvEdkGB2WcePio5k01tCCEktaFnmxCS1KjIbrFNbE+dqmHq1LEfTzBUacJDh2V0u7fXJ7aj9JRPmmQ839CQCNnenRBCSPLCyDYhJKlRkW17betk4/LLjPWjjdAj244okiMBoLICyM8DhoeBw4djMEBCCCEJgWKbEJLUBItsJxtXf9uIPDc2Gp7taFvJZ2RoqJki1+0lBQkhhKQOFNuEkKSmK4hnO9koKdEwf55cN0e2oyn7pzhmmlxu+1Dg1494sX17fGqLE0IIiR8U24SQpKaxSQpMlyvBAwmDCRPl8mijQE/36DzbAHDiCTJa/tjvgUd+A9R9RyZfEkIISR0otgkhSc327XJ5/PHJnyDoKpFj7OwcvWcbAE480X/bJZcLbHmHgpsQQlIFim1CSNIyMCCwa7dcnzUzsWMJh7w8uRzoN3m2RxHZnlbr//iuLuDpZym2CSEkVaDYJoQkLS2tslFMTg5QNTHRoxmZvFy57DOJ7QJH9BH5zEwNs0/w3x7rFvWE7Nkr8NrrvIgjJB5QbBNCkhaPRy6jbQwz1uT6Itt9fbFJkASAU072f9+9vaN7TkLMvPuewDevFLhxhcDOjyi4CYk1FNuEkKRFie1oy+eNNbm+tuz9/UB3DBIkAeD88/y3qc+FkFiw9QNjnTXdCYk9FNuEkKRFF9spYpvIM0W2PR4ptvNHOfaaag1f/6p1G8U2iSXtHUY0u709gQMhJE2h2CaEJC0en10iZcS2ybMdq8g2AHx3cQbuuVtDiVPeptgmsaTdbay7KbYJiTkU24SQpCXVItvKs90fQ8+24uNzNdz+I+nf9tCzTWKIWWC3t9OzTUisyUr0AAghJBip5tk2R7YzYxjZVqiLDk9P7J6TELN1hJFtQmIPxTYhJCkZHhZobh59reqxRHm2+/sBrzf2Y1fCnTYSEit27BTY+ZFx2+0Ovi8hJDootgkhScmttwn8419yPVXEdm6usT44KJej6SBpR49s9wJCiJQoh0iSm8fXW20jTJAkJPbQs00ISUqU0AZSU2wrYmmBUZ+D1yuj54SMlgMHrbdpIyEk9lBsE0KSjsFBa7QtPz81IriZmRpyso3beXlAVlbsxq5sKgDQQ982iQGdXXJ5+23yPO3slBYuQkjsSEsbSWdnJ+677z5s3boVBw8eREdHB1wuF6ZNm4avf/3rmD9/vt/0a3d3N+6//35s3LgRzc3NqKiowPz583HttdeisLAwQe+EkPFJm803mkpfwdw8YMBnIXE6Y/vcGRkaHA4Bj0daScpi+/RknCGEQFOjXD/uOLn0eqUAd5UkblyEpBtpGdl2u9144oknkJ+fj/PPPx9XXXUVzj77bOzatQtLly7FbbfdZtnf4/Fg4cKFWLt2LaZNm4ZFixZh+vTpWLt2LRYuXAgPs5EIGVNaW623TzoxMeOIhjyTlSTWYhsw+bb5s0RGSXu7vDDUNKBqIlBcLLd/53sC27czuk1IrEjLyHZ1dTXeeustZGVZ3153dze+/OUv4/HHH8c3v/lNHOe7lF+zZg3q6+tRV1eH5cuX6/vfd999WL16NdasWYOlS5eO6XsgZDzT1ma9XTs1MeOIhuJioLlFrpfEQ2z7POAU22S0qBkkpxPIztbgKhHo7AQOHQauXy7w7F9Tw75FSLKTlpHtzMxMP6ENAIWFhfjUpz4FANi3bx8AOY22fv16OBwOLFmyxLL/4sWL4XQ6sWHDBgjBq3xCxooWU2T7d7/VUqrqxoRKYz2eke0eim0ySnp9zZHyfRdwJSbrSFfX2I+HkHQlLcV2MPr7+/HGG29A0zQce+yxAICGhgY0NTXhtNNOg8NW8iA3Nxdz585FY2OjLs4JIfGntVVe3H72MmDKlNQR2gBQOcFYp42EJDOqoo2yPpUxCYCQuJCWNhJFZ2cnfvOb38Dr9aK1tRWvvvoqjhw5gmuuuQa1tbUAjAi3um1n6tSp+n7B9iGExJZWn42krCy1hDYATKjUAMiLhRJn7MfPxjYkVvT2yWWeL7J9ykkaNr1kzOIODYmYVtMhZLyS9mJ71apV+u3s7GzceOONuOqqq/RtXb65smAVR9T2rhBzak6nExkZiZkkcLlcCXldEh94PCWdnZ0ABlFT44DLlTfi/snE9On9ALoBABMnxn78JSVdAAYA5MPlSpE+9mlEOn1HszLluVpYkAWXy4kLLhjGPfcZhbabmosx+4S0lglpdTyJJBmPaVp/i6qrq7Fjxw4MDw/jyJEjeOaZZ3DPPffgnXfewc9//vOAvu5o6OjoiMnzRIrL5YKbvXXTBh5Pg6NHvQCA/HwP3O7eBI8mMmYcJ1BVBWRoGZh9QuzHn5klP5vWVg/c7r6YPjcJTbp9R1vbZBQ7K2sIbrcbxUXAffdouHOlwNFG4P5VHbjrjvR1m6bb8SSJOabhiPv0/RaZyMzMRHV1Na6++mpcd911eOGFF/D4448DAIqKigDISiWBUNvVfoSQ+KNK/5WXJnYc0VBWpmH97zOw8VkXaqpjPwWvJ0iyqQ0ZJX2+60Bzs6TTPqbh7p9qyMiQXVw/+ojFAQgZLeNCbJtR1UjefPNNAIYnu6GhIeD+ytOt9iOExBevV+glyUpTUGzHG4evmyY922S09NkSJBW1UzXMnSPXt9WP7ZgISUfGndhubJTtsjIzMwHIxMjKykps2bLFr3lNf38/Nm/ejMrKSoptQsaIjg5geFg22qDY9qegQC49YbhTBgYYlSTB6euT50dugLSCKTVyeff/CTz1Z55HhIyGtBTb9fX1ARMa29vbcc899wAAzj77bACApmlYsGABPB4PVq9ebdn/oYceQkdHBxYsWJBSdX4JSWVUJRKnE6yEEIBwS/9telnggosFnt9IoRRrjjYKDA+n/ufap6qR5PrfN2mS8d27+x6Bzq7Uf7+EJIq0TJB88sknsWHDBpx++umYNGkS8vPzcfjwYbz88svweDy48MILcdlll+n719XVYdOmTXonydmzZ2P79u149dVXMWvWLNTV1SXw3RAyvlB+bdb8DYzqIDmSZ/u2/5bi6H/vFLhwPi9aYsWWdwSWXi9w6inAz/9fal8QKhtJfoCiNuXl1tvt7UAxU5cIiYq0FNsXXnghuru78e677+Ktt95CX18fnE4n5syZgyuuuAKXXnqpJVLtcDiwbt06rFq1Cs8//zzefPNNlJeXY9GiRbjmmmv8mt0QQuKHLrZpIQmIHtlOrSItKc/+/QJ/fbpXPz/ffQ94fytw2scSO67R0O+LbOfm+l8wzD7BeruzcwwGREiakpZie+7cuZg7d25EjykqKsKKFSuwYsWKOI2KEBIOykZSzsh2QHTPdgQJkkIIWuFGyde+KQB4YP4YU71qnN7UJoBne0Klht8+Aly/TKC1le3bCRkNaenZJoSkLqr2L5MjA6NsJL0e4G/PCLzyD38vrRACmaZf93/+a4wGNw4Qpo+7O8XLL/aHENsAcMw0DcdMk+sdjGwTEjUU24SQpEKVvC8uZiQ2EMpG0t4BrPypwC0/FOjutgruzk5g2Gvc3vAkk9tGgxCBP79Ur3XeGyJBUqF82rSREBI9FNuEkKSi1+dFDpS0RQyxbWbLO9bb7e3W283N8RvPeCCYhaKnJ7UvYpQVKVRaUrFTLjs7U/u9EpJIKLYJIUlFb4CudsQgkDB6732rEOqyNcRVPngSObv3CFz2uSCR7RRvLKTGr/IAAsHINiGjh2KbEJJUKLHtYGQ7IFlZGnJyrNtaWq23lRVn0iS57OkBensZmYyGJdcKDA8Hvq+nO/D2VMHjs8GEEttOn52ro2MMBkRImkKxTQhJKmgjGRl7dHvrVmBw0BDTSmxPqDRmCFptgpyMTH+/CJkEmeoJknpkO4SNRNW75+wIIdFDsU0ISSr6RqiQQPzFdlMz8OO7/MV2UZFRr5xiKXK2fRj6frs3PpUYGhLo9zW1CRXZVs1tWlriPyZC0hWKbUJIUsHI9sgUFfpve3GTsa4824WFFEvR0twsO0UG4qQT5XLrB7KjZCpirtMeKkFS1btvaQ1elYUQEhqKbUJIUuGhZ3tEnM7Q93f5SgEWFZpsALSRRMTmt4PfZ+4a+drrqSlAVdnC3NzQLefV+dPXF1kjJUKIAcU2ISRpEELQRhIGI4ntbj2yrek2kpbW1BSFiWJbvfF53XePhuuWGoL0kouN9VRNHAzHrw0AeXkaCn02E86OEBIdFNuEkKShv9/o0EcbSXCcxYG3q2n+bouNRApDRrYj46OP5PL22zSc9jENZ3/KuG9SFXDrD+Tn2pSiNcxVZNsRwq+t0K1IPIcIiQqKbUJI0qD82gAj26FwOo3I6m23GOtqVkAvn+gwbAAUSpGhkh8rKuSyslLDmoeK8MgaDZqmodK3PVXFtifMyDZgOocY2SYkKrISPQBCCFH0miwkGRls1x4Mc/WIU08BMjNke/bubjkjoKpM5OYYlhNGtiOj09c1stg0i3DmGTlwu+V5qYvtJjmjoGmpdb6qrpiFAZJt7TCyTcjoYGSbEJI0sBJJeKgINiCFUJGvy58SUAMDcpmTA5SUyHV2AAyf4WGhW3FUB0U7FRWApskLG7d77MYWK1TkXp0foTCSbOn7JyQaKLYJIUkDxXZ4HHOMsZ6RoenRSVXyzyy28312nF6TQCeh6ekxcgeKgojt3FwNlZVy/eChsRlXLHG3yzfoco28b3mZjNozsk1IdFBsE0KSBl1s068dkk+eCdy8XMPaX0sRVOSzOrT5GtdYxLbvwqWvD/B6GZkMhw7fLEB+PpCdHdweUj1ZLg8eHINBxRgVjXeVjGx/Ya12QkYHxTYhJGlgZDs8NE3DZy7VcOx0KZRmzZDbX39Diun+AGJbCMPLTUKjLDfFQaq+KGqq5fLgodS7iHH7bCThRbblkpFtQqKDYpsQkjRQbEfHp8+RovuNf8vbA6YESXNVlz5aScJCT44MYiFRVFXJz72xKc4DigNGZHvkfc3VSNhFkpDIodgmhCQNvWxoExWzZsplm1t6cVVkOzdXerrV5+npDfx4YkUlD44U2Vb1zrtSMPk0msj2wICRF0AICR+KbUJI0tDLVu1RkZ+voapKru/da/VsA8bFCyPbI/PcRoHfrJPR2ylTQu+rxHhHCortrjCj94BMBlWJoiwhSUjkUGwTQpIG2kiiZ1qtXAYS2+rz7GVkOyStrQI/vlPoCY8nnRg6eVDVME9Fsd0X4SySEtu/fZQ2EkIihWKbEJI09PXJP3LaSCJnki+yffioIYaU2HZQbPvx8/u8uF2figoAACAASURBVGG5Vz/nAH/R/LFTQj+HEqCpVsN8aEhgaEiu54V5Yaua+Lzwd6Cri4KbkEig2CaEJA0eRrajprjYVwvZ1D7cbiNJR7H90ssCv31URJS419QksOFJ4M23gKefMbabP58f/kBDRcUIkW3l2e5KrbKK5vcZbpnNBV8wPost78Z4QISkORTbhJCkwbCRpFbr62RAWRqafGJb04DsbLmerjYSd7vAD/9b4JdrBHZ+FP7jXnvdWH/6OUMkq8/nmGnAhfNHPgeVZ1sI6B0nUwFlIcnMDF1H3Mw5Z2u44rNyfevW1LmwICQZoNgmhCQNSgQwsh05KsqqGo/k5Mh63IBJbKdZguQLfzfWmyNouGKui71zJ3DIdzvSnIHsbE3fN5V82+o8iLR51CRfqcNUbE9PSCKh2CaEJA1MkIwee2RbWUgAQ1R5PGM7pnjz3vuGaI6ku2GP7XP4aJdc9kZxsVfi+9xVucBUQE+OjPB7ps6x9o7YjoeQdIdimxCSNFBsR4+yNAwPy6VZbDscctnbmz7T/wMDAm9tNm63tob/3uwXHX2+JkDRnH+qTnVbCkV71fuMNBFZXVh0UGwTEhEU24SQpEEXO6xGEjFOWwMWs9guKJDLVPIVj8S6x4RFNDc3B9/Xjp/Y9p130dR5LyuVS3db+I9JNH1R2kicFNuERAXFNiEkbrz+b4GNL4QfcWRkO3rs3Q5zTWK7sFB6be32iVRGJUQW+i4kIvFs9/TIZW6uXCr7SFSRbZ/Ybm1LnVmDSGtsK0poIyEkKii2CSFxoa9PYPlNAv9zhwh7ip9iO3ry843qIwCQ7zDWVWRbicx0QL2XT35SLiPxTKvIdqlPKPfpYjvyOu8qsr3zI2DtbwXc7uQX3dF40wEjst3bC/T3J//7JCRZoNgmhMSF+u3GeriRsGirJBBZecQc3Z5SY6yr6O8rrwIP/tKbUjWhg6FqsldNlMvOrvAfqyL8ZbrYFpbnjMyzLWcN/vUasOZhgbt+mvyfbV+Unu3CQlkuEGB0m5BIoNgmhMSFD7YZ6+F02PN6BUv/jRI1zQ8AtVON+skqsg0Aj/7OWjIvFgwMRNZUJhZ4fJHtKl85uki6OKrHlpXJZZ+fjST8Ou9KsCvMNbyTlWgvajVN07tmppP/n5B4Q7FNCIkLR0xtw8OJOvb3y+YgAMV2tJgj27VTjfXCQut+658QuOa/vKjfPnqB/NEugYs+I7D6gbEV2yo6rSLbPT2yDXk4qAi2spHYPduRJEhOnmy9HWm0OBH0+6qv5EYxVnUuUWwTEj4U24SQuNBlEthdYUQd+0wNV1TiGokMFXUEgKkmsW2ObAPA9h3Au+8By28eWZy+tVlg89uB9xsYELiyTmBgAPjD49GMOHqUZ3tCpeyWCVjPuWAMDAgMDsr1slL5QHXuqSobRcUBHhiEmmrr7bwUOHf7B+TxNFesCZfCNKxsQ0i8odgmhMQF859xON31PKayfxkZbNceDeYLlklVxnqBw39fYOSkwsNHBL5/o8B13xfY9LK/4H7iT9bbY5U0NzQkBT4gLzBUtDWs88xUkUXVyFafm2qMU14W/lhyczVkmP5Js7KD75ssDPo+u5woxpqOybaExBuKbUJIXDCL7c7OkUUYK5GMnjZTreesLJNnuzDAzmHw9DMCXq9c/+c//Y/htg+t2w4cjO51IsUsmB0OoNgX0Q/Ht+32XWAUFhoXIX19gBACrb7Pz+7DHolPfdJY7+zEmPvXI2VoSC6zsiJ/rG4jodgmJGwotgkhAIA3/i3w9LOxEwnmKf1wPNvRtpAmBh87VS5VxFZRWOC/bzjs2WOstwZo2rJ3r/X27t3RvU6kmOtkZ2VpKPYlhoYjtlXzm8oK41zr7ZMCXp2DZRFEtgFg2fUa/vuH8uJmYMC/aU6yMeCz0eTkRD6DRM82IZFDsU0IwYGDAstuErjrJwKHj8RGcJv/jMPxbDOyPXrqrtLwnas1PPQLq4gKZcsJVQawy3QM22xie2BA4KAvkj3vfLncum1sIroqOVJFpiOJbDf5xHZFhVGNo68XaG2V6w5HZNVIAKC0VMO88zXdltGV5EJU2Uiiimwrz3ZPckfvCUkmoviqJT+NjY149tln8eqrr2LPnj1oaWmB0+nEaaedhrq6Opxyyil+j+nu7sb999+PjRs3orm5GRUVFZg/fz6uvfZaFNpT+QlJM/76N+OPs7HR6veNBiGERXBE4tmOpBIEsVJQoGHh1yJ7jNsdPJJrnp2wi+2WVmDYK6PL556j4e8vCmzdGtlrR4uKHKsLM9WqPpzzzBzZVom4ff3y/QCRR7XN5ObJqHF/38j7JpJBn40kOs+2BkCgJ8kvKAhJJtIysr1u3TrcddddOHDgAM466yxceeWVmDNnDl588UV85StfwTPPPGPZ3+PxYOHChVi7di2mTZuGRYsWYfr06Vi7di0WLlwIT7LPCRIySj6sN9btoioa+vqA4WHjdjg2EhUJdwRJ5iOjQwsSrN2zN/B2wCq2OzqBwUHjokwlV5aUGGUGG5tGOcgwUaXrVJk9VfKws2vkaGtTs9ynokKzJPsdPizXVSnBaMgzifdkRlVjyY6mGgltJIRETFpGtk8++WQ89thjmDt3rmX75s2bsWjRItx+++2YN28ecnx1j9asWYP6+nrU1dVh+fLl+v733XcfVq9ejTVr1mDp0qVj+h4IGSu8XoGdHxm3A3lzI8Vegi0cG0lblMlpJDzmzgHe2uy/ffsO4ONz/bcD/sfR7QYqK+W6EttOp+F97hujiG6/qqbhE7fFxTLa2hlGV0O3Wy5LSw37SVcXsP+AFOHVk4M8MAzG+nOIFl1sj8pGErvxEJLupGVke/78+X5CGwDmzp2L008/He3t7dixYwcAOd29fv16OBwOLFmyxLL/4sWL4XQ6sWHDhqTPLickWnbttiZ0tbWN/ly3T+eHM72vXtee3Ediwy0rNFx+GXDJxfIzvuRiuX3HzsDHe2hI6M1esn12gw6TmFXrJU7D+zw0FH5jmdGgyv7l+iKzxRHYSJQQduQbjxMCqN8u12tqoi87qSLb/akS2Y7GRuKLbLP0HyHhk5ZiOxRZvowQtWxoaEBTUxNOO+00OGzz17m5uZg7dy4aGxuxb9++MR8rIWPBP/9lvR0LG4lKNps4QS77+0euwdymRxxZYzselJdpuPH7GfjBTRn4y5MazjpDfs7qWNkxR7XVbIOKKANGCb0Sp7Vrokp0jSdKbOfYxLY9Eh8oSGLunpidrem+7/ffl8vqar+HhI36HFIlsh1NTfAi2kgIiZi0tJEE4/Dhw3jttddQUVGB448/HgB0EV1bWxvwMVN9bdj27dsXdB+n04mMjMRct7gYBkwrEnE8t33YAWAIp56ShXffG0JHZzZcrgha6AWgr78PQA+OOSYbzS2DGB4GMjJK4HIF/550dspxVFcXwOVKgTZ8YZDM38/q6kEAnejuzgg4zvaOYQDtKCrSUFCQAWAY2dlFcLmkQuvr6wHQhwkT81BZ6UBmZhuGh4HcXCdcrsy4jj0zU55fhYXyXJ08aQBAF7p7MuFylQAAXnt9AMtu6sZttzhw0YXG+TQ42A5gGBXlhXC5clBS4kZvrxfDXinezzqzBCXO4OdpqGNaWNgJYBCZWcl9Dgshv2ulLvkZREJV1RCADng8WlKf3+GSDu+BWEnGYzpuxPbg4CBuvPFGDAwMYNmyZcjMlH8GXb5QSLCKI2p7V4g+wB0dYRgF44DL5YJbGRBJypOo47lrl+xacvonhvHue8Drbwxiz942uEqijzAf8PlfS5yDKCqS/t4DB9qRnR38OZub5Tjycnvgdqd+UnKyfz8zM+Ux2tvgxZqH2/CFz1mPzcGD8v7CAoGsLJnt2traBbdb7ne0UR2vfrS3DyA/T/p4jx7tiKp+cyS0t8uxaRiE2+1GRoa87XYP65/5shu96OgEvn9jN07/hHE+9XjkuAcHu+F2aygq9OKI775PngUIbweCHbaRjmlmpnzu1tbkPod7e+U4+/u79eMZLt5h+Vl3dYmkPr/DIdm/oyRyEnFMwxH348JG4vV68YMf/ABvvfUWvvSlL+GKK65I9JAISQo6O42ueWeeIZdeL3DNUoGhIYGH1wq8937kHtxWn//anITW3BL6Mer30ReYJHGmxGms33Ov8LP5KDtRicsokWf2IqukV1V2z9wgJt4Es5GY62x7gthZVFk+ZfkoKjLuqxmFhQQwlRK0fQaHjwisfsCLjz4SeH9r4vN/Bkbh2VZxqd6+sfHnE5IOpL3YFkLg1ltvxV/+8hdcfvnluP322y33F/l+abuDGNDU9iLzLzIhaUKDLxWhstIo3wYA+/YDP/yRFNtLlkYhtvWaxRpOPFGuv/hS8Ofxeo263MXOoLuRGGL/SdvyjvW2uggrLzWJbZNnW6+L7kt1GUu/shL9utguMl5bXTSYfeTDw8a5p8ry5emVTIz9yspGF5FXr2lPkLx/lcDv/whc+Z8C37tWoGFfYkXq0GgSJE3dSJkkSUh4pLXYVhHtJ554Ap/5zGewcuVKP2+18mQ3NDQEfA7l6Vb7EZJOqGjyhErZ9trMP/4V4AFhotp8V00ELjhfPu+77wXfv6dHRtQBIwGLxBf78f6w3ioAW1vl7bLywJFtu9hWFUnGJkFSjk2Nq7AQyPT9tCvHX6bpp/5oo7GuLgZyfeMtNzWxKS8f3bj0Ott91s9yx07rfvY292ON3q49CrGdlaXpFxVMkiQkPNJWbHu9Xtxyyy148skncckll+CnP/2p7tM2U1tbi8rKSmzZssWveU1/fz82b96MyspKim2SlqhpdxXlvOzSwPtFUvryaKPAvv1ARgZwysmyUx+AkDWQVVQ7JwfIzWU1kkRw5Kj1tpqdKC/T9BJ7ZrHd6/u5TERk224j0TRNP4c7OmV0u910vu3fL5der9Afq4TxjBnG+VY+iu6RgOkzsEW27V0pzQ2fEsHQKKqRAKbGNoxsExIWaSm2zUL7oosuws9+9rOAQhuQP9ILFiyAx+PB6tWrLfc99NBD6OjowIIFC6AFa79GSAqjOjuqqfTvX6/h6T9ruOwz1v0iaaL6vq9l98wZQFGRpttCunuCezxVNJJurbHFfHGlOigqdCtQaZDItq1len5CPNvG77I6h5ffJLDpJev++3xi2zx+JYxnzjC2jaZVu3xOOR57u3ZlySn15VEF85OPFaOJbANGYxvaSAgJj7SsRrJ69Wo8+eSTcDgcqK2txQMPPOC3z7x58zBr1iwAQF1dHTZt2qR3kpw9eza2b9+OV199FbNmzUJdXd1YvwVCxoTOTil+VZJbVpYGpxO4aZmGKy4X+PbV8v72dqtXMxS7dsnHzPCJGLMtpKs7cAIkxXZiuHGZhgvmAUuvF3h/K3DkiEBVla/+turoWWZ0apT2DXm/EtsOn8hOhGc711RdTzVbaWoG7l1lvajbt1+O2xxxVlHxKTXA8cfLaG/FKG0kuQHatT/xJ4EmXxv7mhpZTz6Si9d4MJo624DxW9BFGwkhYZGWYvvQoUMAAI/HgwcffDDgPpMnT9bFtsPhwLp167Bq1So8//zzePPNN1FeXo5Fixbhmmuu8Wt2Q0i6YNhI/GduZhyvYeIEgaONsoHJ5DDbWO/aLZfHTpfPmZWlobBAoLtHVrAIJbaLKbbHFE3TcOx0Q5j+6tcCt90qj5uyYZSU+Ee2hRC6Nzsxnm25zDGViG402WDsXuLdu4F//kvoCcG5uUBGhnyfGRka1jwou0hmZsYmQbK3F/hol8BPfiawfYdx/+TJwHvvJ15sD402sq26SFJsExIWaSm2V65ciZUrV0b0mKKiIqxYsQIrVqyI06gIST7sNhI7JSUyuSySUvJK0Ew/xthW7JQ2Er827h0CxcVGhIyR7bGnuFjDRRcKPPc8sPHvwM03CuTkaPoxdzqNtuhK5A4MAMO+hFZdbCsbSa8R/Y4lhw4L/O1pgRNnawHFdluA0rqnniITcz+sB26+xbioyLP1m1HCe7SU+C4k29qA//u5VWgDxgySxxOfzygchoeFfuyiqUYCGDYSerYJCY+09GwTksoIIdDYNDalwVRkO1hEWYmHSHoEKB+n01TCr9iUvKbY8o7ApZ8VuPd+QRtJgrnuWkP4/eCHAo9vELodpMRpJK2qyLY5MquiufG0kbS2Cnz5awLrHgNW/kzoJQjNYvv71/uL14+dGtiHnZvnvy0WKBtKSwtw4ID1vlX3anA4fBacBHq2h4aM9WjFdgFbthMSERTbhCQZa38LfOFLAptejr/gbm+Xy2CR7YkT5fLwkfDGYrYXqEin+fm7TGL7pVfkc254EvjbM3K9oiKslyExprBQ060iBw8B95k8zw6Hv41Eie28PMN6Ec8Eyc1vG+tud2DP9uc+q+HR31gFd1mphrlz/J/PHtmOFer8PXIUlmooAHDqKZo+C5BIG8mAqVZ61JFtZSPpYVMbQsKBYpuQJOPXj8g/sLt+Et8/st17BPY2yBJ9tUEqW06eJMWLLw1iRAYGjHrZDpPYVt1szV0k+0zRPRUFvOA8Vv1JFPf/XH72KplPoWmaHkFWEWW9xrbpGKtKHPGIbNu7j6rZE3NkGwCqbXkFjgLgvE/7n1MFcarlXl4G2AtXZWUBl1/mG49utYnP64eDOj6ZGXJs0VBYIN8kbSSEhAfFNiHjlDffksszTgcqKwOL3MmT5PLQ4YB3+2EWEeaoY+1U+fx7G4wLCHOjEUCWRTvmGIrtRKEsQ+bIpyJYZNucO67bSHrVPgIbnhRobx/9RWNzs/U5lJ881ya2s7I0S9WcAgdw+ieAM8+w7jdp4qiHFJCsLM2SAFw9GfjTBg03/Jc8r5Mhsq3yIwoLEXVJW/UZ00ZCSHhQbBOSRLhNwsTrjayZTMSv5ZbPXVMTfB9VgSRSsZ2ba63sMK1WLs2d8+xiu5wWkoQSqnOnvamNvRIJYKpG4ouc3rhC4Of3CTzwy5HP4Q+2CXywLfh+Tc3W2y2+GuCFAcZszhVwOKQA/uldGh5ZY5yPo62nHYoJE4x1lwtwlWh6t05ltUmo2I5BfkQRPduERATFNiFJxJEjxnp/f3ybRqjqDa6S4NGtslK57OoK3pDGTCC/NmCI7f37ZRe/4WHhZ1cQ3pHHTOJHQYG/BeL8c+Uyz3c8lQVBHec8U6KheZ+BAYF335O37Q1m7HywTeA7SwSu+77wa3OuaLHZSNQ1aKALBLvYBlSJQ2N7bpw82wBQXW2slzit9ymB22mryjOWdJsi29FSwKY2hEQExTYhSYTdy2kvlRdLVIUR1dUuEIW2hjQjoaKa+bZqDxMmSCE3MCgtAK2tsmW1ubGrl2I7oWRkaJZop8sF/OBmn/3BFpFVott8UWWus232WCsrUjD++rTQn9MewVbYxbYiUHTWLHALTJF3s2Wiujp+dqUa03OX2GrKq3bwLa3xnbUKRSzKbBaaItteL5MkCRkJim1Ckgh7JYd4RsDcvkokrhBiOyvLqKCgpp9DESyyrTpTAlJoKAtJZQXwja/L9Wu+R792ojFHij8+xyj5Z/caewIcZ3M1EnPVmeYgAlphLisZaF8hhO7Rtif0BYrOmt+DvR/Z7T/ScMXlwIUXhB7TaDDbskps3y1lXxkcjM93u7FJ4Mo6Lza+EFwAxyKyXeqb8Tp4CLjwUoG//o2Cm5BQUGwTkkT02SPbETSTiRS3rx13oI6OZlQEbDRiGzCERqtJbE+YAFxdp+GvT2n4+FyK7URj9uYXBBCtSmT3BqxGIpd9vUazJEDOzgSzhwDW88pedQTw2VJ8HQ8nVBrbCwsCd3w0VygxJ0sCwPnnalh2Q4buoY4HJ8021ivKra+Tk6PpkXflO48lj/1O4KNdwP/cEV+xXWVKMO3tBf64gWKbkFBQbBOSRNjLpsUrsi2E0CPb9uibHRUpDEts+8afF6BpiPJ/r3pAoNEktjVNC+kbJ2PH+ecZ63M+ZhwTJbZ7e1UtdSmuzMfZnCBpP1cCiWiFRWwHiGyrC87sbOssTDAbRLZJbNtLA44FEydqeHC1hiu/BVxwvv/95b7GNyNF/KPBfIF04GBgAdzVJbePxkZiv1gpj2PCKSHpQFq2ayckVbHbSOLl2e7oMDrJhfJsA6aGNOF4tgNEPBXKn93QAPz7TfmHP3GC/34kcVx3rYaLLgROO9WwkADG8fR65QVhoBkMc4Jkp01sh7pQM98nO6dahZz6DhQXW8V9MLGYY2rUEm1pu9Fy4mwNJ84O/Nrl5cCu3fGJbJuTjPfsBWqq/ffRPduFo/tsiouNYIC5KyUhxB9GtglJIuyR7W0fGlHEWKIijSUlcmo7FLGykZgT13btlstg9b1JYnC5NJx5umYR2oA8nkq3ejymRNh8Yz8V2R4asvqwgeDnjhDCct+Onf77KEHnDFNsR9uoZaxQ1pZ4lP/rMT2nsonZiYWNBAB+cqdmnBMJbNJDSCpAsU1IEmEX1n9/EbhhuYh55QJV3aGifOR9lY0kHEtLKLH97SsNYab+8CtZWzsl0DTNqBHdG9qzDQBHjljP12D1mPv7DT82AOzcKZvhmFE2EntkW8242Jk7J7kv4FTZwUDNg0aLx1SKT9nE7Oh1tkcptk86UcOqe+Vnnci64YSkAhTbhCQRfQFK5239AHh/a2xfR5VYqwhD7Oo2kq4w6mz7EuHyAojtiRM1nHqKdVs4r0+SA3NFEr3Otuk45+Roeo3pf/zT+thgkW21PTNDJtAOD0v7gxllI3E6gTxTfWyVA2Dn43M1/Gylhsd/n5yiO0dvEBT7GStz+/RfPyL8LlyA2EW2AVMFGka2CQkJxTYhSYSanp8xw7r9nXdj+zotLfJPOJzIdmmpFC2tQaalzYTybAP+1SEY2U4dzLW2g81gnOVri95ta3YSzO/faepmqKrV2IV5a6s8V10l1vNHnZeBOPMMDZOqklNsq26c8Yhs25vMBOreGYsOkgoHxTYhYUGxTUgSoSLbM21ie9eu2EbBGn3dGysqRhYkeiOOEBUlFIYIC/y85rrHeXmx+cMnY4Mlsh2gqQ0AzDvfetzVxVxXd+DzVz9fHEBxkO6K+w/IZU2NhokTjecvDRLZTnZy4mkjsdk53njDf59uPUFy9K9njmwnqkkPIakAxTYhSYSqs23vcPfRrti9xua3BT78UK5Pnjzy/mWmrncj0RegjbcZc0e/iorEVYsgkWOutR1sBuOEWRqmTjFuT/J1jwzm2VaCMzcneNWb/fvlcsoUayv0karoJCu5voTk/jGIbA/burJ6vUJPooyljUQI6b8nhASGYpuQJEJFDB35wOL/1DDjeHn70GHge9d6MTQ0uujRG/8WuO77Ag375O3qMMS2qgvcGobYDtRZ0Iw5sk0LSWqh/NL9/SbPdoCLKrMPf1KVXAbzbCuxnZ0dOLI9PCxw8KBcn1ID1JjO11CdT5OZnDGwkZzoa6zT1GRNOO3ukcIYiI3YNh9/JkkSEhyKbUKSCLOI+cbXNfz6l8ZX9P2twN6G0T3/a69bxXpYke1SY2yBEq7MjOTZdjiMSDaTI1OLXJ+w6g9SZ1thFsGTJ8vjHaySzaCvEklOjmEp6jQl4nZ2WbtHTjR1LgyWIJns5OoJkrF93qEhoc8K/O9/a7qYVt1aAWOGITd35JKf4ZCRoTFJkpAwoNgmJIlQ7bKDRX1H2wjD3FEvKwsoLhr5D9fh0PTqKPb6yXb6gnh5jecy1im2UwsV2e7rN+xCgY6z2Sp07LFyefhI4Oc0R7aLfOdil0mYK3FYUCC7FmZlabjnbg23/0hL2Rrt8Yps79krq7kUFsrZKNVS/ehRYx81wxCLqLbCYSoJSQgJDMU2IUlCW5sX7b7auFOnGtuXLjFERVPT6F7D3CL6zv8NX6zoUc0RonGh7AWAtZpEZRjJmSR5UPWhe3qEHm0O1SkUAGYcJ5eNjcDgoP+syIApsq082+buk4HK1H18robzz03dcydWYnvHToHmZuMzrd8ulzNnyFwI1Z3VHNlWMwzFMUxMLimRy3i0nyckXaDYJiRJ2LV7GABQVWWt5vGFzwMnnSjXm5pG59lW9bX/5781nHVmBGLbFNUMRSh7AWCtIGGvuU2SG3XB1d5hbAt0UWXu4FheLvfxeq2iT6EEZ06OIQDNsyfxiMQmmlyT9z1a9uwV+PbVAou+LRtevfSywM/+n/xtmDVT7jNBRbYb5fb9BwSuXybXVdJzLJg2TS5374ndcxKSbiR5Y1tCxg8HDkixPaXGuj0zU8NZZwJbPxCjjmyr8n2RJifmhSkQzAmegfj4HODm5RqOnQ5Mq03d6OR4RJ0DSgxnZkr7h99+JgGuaRomVQns2QscOgTUVFv3NXu2a2vl+p49wAfbBG7+gdCrmcSiTF2yEGlk++BBAa8AptQY35e3t8hlRyfwH+daL8BnzpD7yZkjgRbfBfbqB4z9ysOorx8u04/R8PcXBXbvEQD4nSYkEBTbhCQJ7nb5ZxiopJlKBmsbwTMdCq9XoFm1aY9QbIcTjRNCjGgjycrS8JlLI3ttkhzk5krxpqxO+fmBSzd+8fMann1eYN758vbECdJPHKhOu9mzXVMNOIulgPzOEvldUFH08Sq29x8Q+No3BIqKgKc2qGMAi33EzkxfZNvls3eoz9CcpBrL5NJptXKpqsaEYnhY4NnnZbLrx+dSmJPxA20kZEzxegXe2ix0YUkM2ttlUVyn0/8+5XUeTXmt9nZgaAjQtMj/bHWx7RMIgRpY9PcbZcWC2UhI6qIi20q8BZu9cLk0PPFHDd9bLP9eynxR1EDJvbqNJFsKd3vnVEU620je3iLw3Wu82LXb+p0aGhL44Y/ktq4uwwIGBK9KNP0YY9ZKeanNF0eKwsLYCV312xRONZIHfymw8qfSzvKPf/I/gMSO1laBn9/vxd6G4UQPJSAU22RM+ce/gOuXCXx1oUA7BbcFQcPXZAAAIABJREFU9Xk4nf5/hOaGItGiotqlpTLCHAkqGtffJ+0sF1wsBUJfn3EMVY3fjIzgkW2SuuTaKtKEOsbmiLfqQBooGquSJtX5FewiMJ3Etj2y/V83CGz9APjfO6yfz/YdVh+0OQHxgK+rZt1VGv60XsOZZ8i6/Pffq+mfvV1sDw0Zj+/vj91vrzoPRsrnAIAXXzLW6fEmseSvTwMbngDWb+hL9FACQrFNxpRtH8of+e5u4J13EzyYJMMdIrKtolKeHv/7wkX9WUfTTCbPVI3k328K9PUBWz8Atn1o7NNlKtOWkcEp4nRDRWRVhZBwZy/Ky+W5ECqyrbzfgc59IL3Edm6Qdu1Hjlpv26t7KBvO8LDQk00vmg9UVGj42coMfOPrmqWUZ4nvs2xvlzNR5qZUF18Yu++nHqkfQeP091tzTjo6GGwhsePwEXk+FRcn538PxTYZUxr2Guu/+4PAs8/xBxeQzWJefkVmi8XLRqKmoaNJjjLbSFSkDACOmOonKxFWFMOyYiR5UDYSRdhi2xfZDuTZNidIAoFndQCgrDQ5/0CjQZ8lGgi8XWG/OFEzU62tMkqdmRn6u6wi2wOD0uKhnm/1fZrebCgWhBvZPnTIejtYoyNCokFdyE2cmJyyNjlHRdIWs9ewfjtwx0qB1lYK7t//0fgMSgKI7VjYSNraoi/7Ze56ZxbbKpoApGeZNmKQa7ONBPNs21HnW2ub/339euk/Kf5UUp+ds84M77VSgRzTd6mnx/j+5Jgqu/zrNYGH11p/F5tb5G0VAa+sDG0Hy8/X9Ivkg4cMm9dxx45u/Hb0Zkd91lyOgQGBF18S6PJ1BF1UZ30/HWGK7Y1/F/jr3/gfQUKji+0JmaF3TBAU22TM8HiE31QpAHywbezHkmw8/Yyxrpp7mFHCZnBQ/olFg16WzxF6v0Dodbb7hKXOsvl4KhtJOlWOIAb2yHZJEGFsR810qJkPM/6RbeO+CRNkJZOLLkTKdosMhPochQAa9hnb1axVZ6fATT8Q+sVrZaVcqhJ+yus8qWrk11KNbd74t1w6i2VH2Fhi9u6brTFP/QX40e0CdYsFOrsEvNIlp3e2DEds9/cL/M+PBX5yt8CRIxTcJDBCCH3mtoqRbTLe2bc/8PatH/BHVAns/Dxg6hT/+81T9tFaSfQW23mR/9nqHSQHrE1NArWCpthOT3JtYnvmzPDOo0KfBaqvT1bYMBPKs109GdjwxwzcuiK9/qbM4tScJNjdA/T2Cmx62bq/alLz8qvArT/y4vEN8jM8/RMjf/6qGdbzG+VjJk6MdtTBMZ8XfSbf9ptvydc8dBh46WVj+y0r5Lg7TL8jwWg0ebyZUEmC0dVtnHsTJiTn70VyjoqkJXv3Bt4eKHFqPCGEwKHDcn3NQ1rA5MKsLE3/k47WSqJ+jOyiKRyUjWSg3/on2WWKVtKznd7YI9snzArvcSrfADCsDIpBUwdJwBotD9emkmpkZWn6xcWePdaLj5ZWYN++wE1qAODlV4x61uedO/JrnXySfKwKdFSFEQ2PlMxMTbfAmH3be0zi+O0t8j1NqzWsQp1hiG3zxfzOj0Y1TJLGtPsqJBUUAHlRBJPGAoptMmbsPyB/cKttXeRGU2EjHWhtkwlMmhb6z1CJj6gj274/wmhqYKtmGp5e65+keSzKm0nPdnqiujkqjp0e3uPMF4rdtu96v6nONmC1RjQEmQlLB9TnYY/WNjdbL2CBwBc1WVnhVRU6/njr7ao4RLYB08yX74K+q0tY6oJv8XW8rKw0Zi+6e6S1MBRmm9qWdzgDSgLj9uURBcp3ShYotsmYoSKfH59r9Q3b/4DHG6p83vRjMvVEsUCoz8weHQyXkbo7hkJFw1tbgWGvsd0sttXxjWXDDJI8mCNGJc7IarWr6Lbdt233bGdlafrMyJSaaEea/OT7voN7bGK7pdWwYymOP87/8eVl4ZXXnDpFVi1RnDArPt9NNeuh8kLsZQuV9UyJ7erJ8vZbm0M/r9mn/e57wNGjFNzEH5W07wrQfTlZoNgmY4YSZpOqNPzlSQ13/0T+8PeMopxdOvD++/IPZM5pWSH3CyZYwkXZSOx2gHBQYtvsoQSAXo9RgUD9oToDJHiS9OBnP9EwaRJwx/9GJtqUj99+oWj3bAPA2l9r+PwVwA3Xpe9Fm7rgVUmCajaopcW/JF5RkebX7CecVu8AkJ2tWWbLPnZq5GMNBxXZVr8xzQHKPALAhErZdEdVl3nr7fAj2wDwxa8IHDxIwU2sqMh2sGpGyQDFNhkzlNfY4ZBRMhXBGu82kh075fLkk0OLbfWHG6iEWjgoG0leFDYSJZYaGuRSTdcNe4EbVwjsPyDQ5htXNKUFSWpw5ukaHv9dBk45OTIhHOxCUfn/zdajCZUabrguAxPSqAKJHft3sMYXxW9pEX42EkB2ijz/PON2mzv81/rcZzU4HMCllwAlJfGNbKsW9Epsn/4Jq8BX1pepU+U4VATc6xUYHvYX0UcDVK+6/xcU28SKimyHWyEpEYT+dyckSoaHBVb9QuC114HbbtUw+wRNj2wrO4T+BzzOxfYBX8LTMdNC1wct9/1RybbXkf9pGtVIIn4oTj7Jeruqyohkv/4GcOSo0J8/mafySGJQ33VzZFsIo6PghAljP6ZEYv8OTqkB6utl4ym7jQQALvuMhss+oyEvz4unnwG+/KXwX+vLCzR8eUF8L1xUpL63D9i1W+DwYSmIK8qB6moN77zru+37DdNrr/uS45cslSVFf/NrWKx0SmwfOx3YtVuuj6axF0lP3G55fpUk8X9P2ortP//5z3j77bfxwQcfYOfOnRgcHMRdd92Fz3/+8wH37+7uxv3334+NGzeiubkZFRUVmD9/Pq699loUMuMrYl56GVj/hFx/+RVhFdu+qI4qCebpkX+8mpa+kaxgrPypV//DqZ2aieHh4PuWl2kARNTVW0ZjI6ms1HDMNIE9vooyLpf8g1XP2dBgJLnZp7wJUT+h5gvr9nbZ3VDTpCgbT9jzJqZOkd/tZpPY/o9PAV//qvU38fqlGv7jk8DcOWMzznBRNrPnnhP4x7+M7eXlRp1wAJjgWy9Xs3StMkly6wfy9vKbBe65W/rR+/uFPos3+wRDbJur2xACmDzbQTrQJgNpayO599578cc//hGHDx9GpfnbHgCPx4OFCxdi7dq1mDZtGhYtWoTp06dj7dq1WLhwITy8lI6Yvz1jTPXt8zVusEe21XLYa0w/jjf+ZmlmE/rrqARJoLbX4TAaGwkAXDDPlCBXYq2pC0jhBAClFNvERqDItvL/l5YiZGJwOmKPbKva+gcPGn7sW27WcOJs6+eSl6fhU5/Ukq68mbKZmYU2ALhcGgpMyfDqr1hFttvcVlvc21uMmtyNjXKZn2/9TYmmmhJJb/RqJEkc2U5bsf3jH/8YmzZtwhtvvIGvfOUrIfdds2YN6uvrUVdXh4cffhjLli3DmjVrsGTJEtTX12PNmjVjNOr0QdWNBowSXmbPNiB/NDN8Z+B4tJJ0dhoXJOG0ozZsJNG9Xt8oqpEAwMUXGevuIJ7RggKjTCAhikLds22c88pCMkIsJC2xX/BO8YltlTCZmRFdp9dEEewYljiBGabyg+oiweWSMxrDw9BnyxQ7dlrb0ldNBIZMM37hJoeS8UM7EyQTx1lnnYXJkyePuJ8QAuvXr4fD4cCSJUss9y1evBhOpxMbNmzQKy6QkRFC6NYIADh8GPjaN7x6RFb9iWiapq+ne5Lk9u0C99zrRaevFrXbLXDJ5cY5dWcY1R30yHYUNpLhYaFHnqOxkQDSxqJKdn3i44HHO97sACQ8VDlIc4KkSqgtH4czIfbv4ORJ1hJ95RXhlfZLFiqDJLMWFwPl5Roe/Y2GpzYY+2RlaXoy265d1v/WzVtkwqQS2xMnApdeZDw22mpMJH1xp0CCZMzEdkc4vVeTkIaGBjQ1NeG0006DwxZKyM3Nxdy5c9HY2Ih9ygtBRqSr24g+XDhfLvcfMO43d4bTp5fT3KlT9x2BJ/4E/HKN/GN59PfWP5hwahaX+6Ze29uBgYHILv7MNp3RTMP+6kENt6zQ8NnLAt8/Y0b0z03Sl8IAydCdPm9ycRI3oogX5tmlrCxpozE3qYlX85l4MSFIZFs1sKmdqqG83Pobp0qENvj+Wo8/XpaA3LkTeO55o8Z21USZZHnLzfLxgaq1kPGL1yv0qkbJnJwfM7F9xhlnoK0typpkCUSJ6Nra2oD3T5061bIfGRkV1S4qAm5doWGWrQOa+ZqmYJSNWlKN7dvlcr+pO15OduB97Tidxr6tEUa3lbDJzDQaiERDUZGGiy/UkJOj4aIL/e+ffULqROPI2FEQoM62slEVFyVgQAnG3PhJXfz6/moApF51lmA2kuIQNfdV6VdVTnT2CcC3viE/l2eeE3olkokT5TbVeZiRbWKmsxPw+hqtJXMHyZhVIxFCBLRatLW14Xvf+x7+8Ic/xOqlYkqXL/U7WMURtb0rUD0mH06nExkZiXHkuJLwUm77jgEAXaisyERpaQk+dZYH9fXSMJyRAVRVufTKI8XODgBDAArgckXpb0hyZBRaXojm52fB5XKitbUdgDQi/mJVEVwuqYBHOp6VlW4cPORFX38RXK4wVTqMYzKlJgOlpbE5Z1beIbB0iRerH/Tg6WfkVMac0yIbV7qTjN/PRDBhgjz/+vrk+Q8A/f3dAPoxYYIDLlfqZL3F4phOndIHQF55FBRkwOVyYfYJPXjj3zLruHZqPlyu1DFtzzjeC8A/kWPqFBccjsAX4KWlnQAG9dKnk6ryccXluVjzcDveex+YNTMTwDCmT5f/DZOqhgB0wOPRYvq94nc0tWltk+dFcbGGigrpSUvGYzpqsT1v3jyccsop0DQNmzdvxumnn44Sk3FmcHAQW7duHe3LJDWJstC4XC64g2WqJZA9e+RFl8s1DLfbjYpy4yKsqBBoV9kMAPJy5SVpU1MP3O709JLs2Wu8/x7PENxuN44cle/7tw9rOOaYHrjdPWEdT5fLi4OHgL0NXZhWG34U+cN6OYbJk70xPWdk5Mro3+4s7oLbzeg2kLzfz4TgC8R0dAzpn0lzizxvsrN74Xb3BX1oMhGrY+pwGL8JuTnyOzl5srFt0qQ+uN2pU6IpIyOwra2vz43+/sC/B/n58vgPDcnbeXl9yMvrQ26utL19WC+DEfl58r/B65Wv0dUp0NbWFpNSsfyOpj712+V5UVYq4Ha7E3JMwxH3oxbbCxcuxPvvvw8hBK677joAwKRJkzB79myccMIJ2LdvX1iJiomiyDeX1R1kbkptV/uRkTnga6erkunU9B8ATLB5EXUbSXrqbADWLmhHjwK9vUKvpVtREfgxwVD7t0RYkeTAAXlMaqpH2DEKzF8dZxJP45HEURjQRiKX49FGYv7eKxvJGacDJ8ySdopPn52YcUWLTOb0F9yhBHGRbTK5xCn3r6gQOHjQ2K7KBKpzaNgL9PamVrUWEj+2bZPnnd2ummyMWmwvWrQIAPDKK6/gqaeeQlNTE+rr67Ft2zY899xzGB4exooVK0b7MnFDebIblHHMhvJqTzUb6khIVDLklCnyh1a1Igb8S/M4AtTfTTfcRiAfnZ3Atg/len6etU11OKhqH80tkXWRVKUYJ0+OfdS5t9dYH4+NicjIqARJc3KbniAZwtebrpiTIVUVkuIiDb98ID2+P9nZwNV1od9LcbFVoKsJ8coKWMW2r1pNXp78rIaH5QU+xTYBgA/r5fKk2cn93YlIbL/++us488zABYHffvttAEBNTQ3mzEmy9lYhqK2tRWVlJbZs2QKPx2OpSNLf34/NmzejsrKSYjsAHo/sZqhpMoqthJZK/lONGsxJC2rKUFGoi+3oWpCnAibXDADgV7+WfzBz50QuTsui7CKpyi5WRhhJD4f//LZsx/yNr6fn8SOjRyVIDgwAg4MC2dkausZxZNvcBfGsM9Pve/PCs9qIFZbsx12JbXPUv7DQqNuvaRqKCmVb9+7u8VmfnfijSkQGqXGRNESU1XfllVdi6dKlOGi+7ExxNE3DggUL4PF4sHr1ast9Dz30EDo6OrBgwQJG7ALws/8T+No3BL66UODFTcZ2dfJPniSX5s/OXnauoEDel842ErfbOr26fYdcfuHzkZ9TFVE2tmn2ie141MGeNVPDc3/TcNUifkdIYMxdBFX5PxXlLohwdicd0DQNt92q4VvfAL7+1USPJjZ86xty+c2F4ZUytTszldg2lxEss9VgLwhQQpKMb9y+IngxyvuPGxFFts855xxs3LgRr7zyCq666iosXrwYedG2o4sz69ev16PtO3fu1Le9+eabAGRi57x58wAAdXV12LRpk95Jcvbs2di+fTteffVVzJo1C3V1dYl5E0mMEAIv/N24ff8vBOadr2FgQOhtvM3+3aXXaHjs9wKL/9P6I6wmEnrSuJxTuy1/dtjXDS2ayEw0LduHhoTe8bE8Tk1n2DWShCIzU0N+vkBvr/yuO4uFXovf3rp8vDB/noZ0ms278lsa/uOTwLHHhrd/kck+pGlGpPvyyzT85W8C7e3AsdOtj1G2O5b/I4DMf+r16Y0kLEBiISKx/dBDD+GVV17BnXfeiQceeABPPfUUli9fjksuuSRe44uat99+G3/6058s27Zs2YItW7YAACZPnqyLbYfDgXXr1mHVqlV4/vnn8eabb6K8vByLFi3CNddc49fshvjXeVZJLCrxT9OsU6Vf+qKGBV/wt02Mh6Y2wRKj7VGbcDA82/KCJ5wZF2U5ycpiAiNJHEWF0t/f3WNtuZ2bnhU/xx1ZWRpmzgx/f7ONxFksL8gAYOIEDRv+AHywDTjOJtwpthPD21sENm8RqLtS049TMqDyoXJzR9esbSyIOEHynHPOwVlnnYVHHnkEDz74IL7//e/jd7/7HW699VbMjOSbFmdWrlyJlStXhr1/UVERVqxYkdTJnMnErt3W28qXrKaGCwv92w0HEoaFaZYg6fUKv/dt92wDsrFMNNdw6uq9vz/8jHwVBS8vS60W0CS9KCgA0Cy/6+aOpqNpskRSF7ONxN5mOy9Pw9wAqV+qggm7SI4d/f0C/3WDtELOnAGc8x8JHpAJ1UfRVZL8yflRdWLJzs7G1Vdfjeeeew6XXnopNm/ejC984Qv40Y9+xJqV4wRVzu7E2XLZ1CS/lCqyHW6lRFWJwG61SEWeeFLg4ssE3nnX6tFWV9/mSH+pK7ofh/x82RgIADy9ofdVKLEdaZlBQmKJOSrZ5xPb2dnh+XtJ+lEcQmwHg5Htsee11431ZJN3KpDlimKWeKwZVdvDyspK3H333Xjsscdw/PHH449//CMuuugiPProo/B6vSM/AUlZ2nxfumnTjOj0oUOGjcReQzUYKlIbKPqbaty7SqCnB7j2OkNsCyHQ7vusVMIoEP2Ul6Zp+mM9YVpvVHKksvoQkgjMyW39Pp9lLqPa4xZz2dNw22wX6PXaAzfRIbHngKkeRoL69wVF/bcle3IkMEqxrZgzZw7WrFmD8847Dx0dHbjjjjvw2c9+Fq+//vrIDyYpSZuvwkapy2hac+CQUTs33Mi2qrvd1SVLgqUyEyYY63198r309gIDg3Lb4KBx/6fPif51HBGLbTmWeFQiISRc9PyMbsNG8v/bu+/4qKr0f+CfG1Ink4QJSaiB0EJRikiIKIoiP7EgClJcsZdV19WVXVdd14KiK6vuV+xiQywoRnQta0GXXRWkRFlFpAmERHoI6ZM+5/fHmTN9wiSZcufm8369eM3MnTuTk1xm5pnnPuc5CZ10ciTJMxrq/0Sgme0UszwLwjKS8FGfHwBw9Ki+PqOL7KszR0Nn5nYtatPY2IgtW7bgxx9/xKZNm7Bp0ya3doBCCPzyyy+4+uqrcd555+Hee+9FamdcucDAVK1UerqGPn0Etm2XCxGo+stAg+2UFKBLjFwVrLIydN0yQqHwO4Gvvhb4ZjUwZIh7V4XDpUDfbOdpt8RE97r0a65q//dcVacdaLCtVpvMzOTpeoocdbarptZZRsLJkZ1baop8X2QZiX65tpk9qrMykt1F8nJAf/1/trUp2H7ggQfw448/Yvv27Wix9y8TQqBLly4YOnQoRo8ejRNOOAEnnHAC6urq8Mgjj+Djjz/GDz/8gCVLliDbdSlBimoqiEy3OJcAL/lVOBZNCTTYjonRkJYmcLRcPme0BNuF3wnMu835Lf9bj5M4hw/bg217eUzXNOD3v9Nw3/0Cf76tY28MjmD7GDXbm34SqKoCDh2Wt6Plb0vGlOyygFVDg3wNJDLY7tRSUuS6DF27BvaeyGA7/A67BttHIzcOX9TC3wP6R3QYAWlTsL1s2TIAQFpaGkaNGuUIrkeNGuWzPd5LL72EgoIC3Hvvvfj73/+Op59+OjijpohzZraB+Hi5qmFhofO0cP+cwANKi0V+Y46mSZJr1rZ+Ok1lAxwTOCzA6RM1rPy04z2pA8lsHzwo8Lub3ccYitUjiQJlNsv3ieoaZrZJ6tkT2PGL+3yW1phdzo5QeOg1s93cLBwxQ/coWE20TcH2ggULMGbMGAwcOPDYO9vNmjULn332mWMxGTIG9aJLT5ftgBISnN+A4+OBc88O/LnUKcQynX1rVoQQWPCQQGUVsPAhDd9vBN5dIe/LypLZuZJf3R+jsskq2Fa/YzAWf3EE26184Hi2ZgSAAQM6/KOJ2k31eP/kU+CTT+UXQQbbndu8WzScNRnIHxfY/moyPjPb4dHSItyaFwRauhgqVqvAZyuB006V5aeKOQpWoW1T4eisWbPaFGgrPXr0QLVqU0FRr65OrgQHyDKShAQNo0Y678/Odi7DHgg1sVC1E9SbV14VWPklsH6D/PfjJmfGeNFjms+VIA+Xyn1UGYklwJrEQARSRuIZ/PfoDqSm6L+ujYzL1wRdBtudW0aGhomnaQH3/2cZSXjV1ADC5QSpWh06Up55TuD/Fgn8+Q5ZIgnI/xN6WmjHn3ZNkGyrq6++GsOHDw/Hj6IwUFnthARn4DdyhIYNhfJVGegpQaVXT3l6ee8+gX9+CIw/CeiepY8Xz8FDAkuWOm9/9bVwtN47bjjQt6+sOfd02JHZlvcFOgEoEM4yEgF/yz2XlLiPKdAllIlCxdecgUR2I6E2cA22A11Bl9qvssr9dl1dZP/uX66Sl7/sdHakiZbeG2EJtgcOHNiujDjpk+vkSPWiO2G08/62ntLp2UNefvY58NnnAukW4MP39fEmqhaEUfbtl3WGADDxNDlGX9k5Veem/laBTgAKRCCt/w54nCXo0d33fkTh4jPYZmab2kB1tGlqAhobeWYk1FT2ODVVXrfZIvt3d12+RY0t0DU9Ii0ofbapc3GdHKmMHAGoL7sjj29bYKmCV8fzl8vJD3rg2cT/SJmzhZ/qruAZkAPOmu1QlJGoEp3WJgl5BuIZGfr48kKdl6+FS5qawz8Oil6uK+iylCT0VEDrOrm+LsCVi0PCJSxQa3pES2abwTa1mSPYdlm1SdM0FLyt4dZbNJw9pW3P16+vM1BXdvzSsTEGi3qzUQv3HDnifJNPtpdzDBvq3P/mm+yBcI0s83BMkAziCleqJKW1VTfrPGrruKANRZqvU8/1kfzgpqgTE6M5yugYbIeeCmi7dnWuoRHJum3XFFyVPREWaJvhSAtLGQkZi6rZtqS7b+/RXcPMGW1/vrQ0DcOGCmzZ6tx28BAwfFj7xxgsqmZt4AC5aE9jozNrrZYOnvsbDQkJclXIvtkaXnlVLtt+5IhLZjvA5YgDob7klLfShqnB4w2RPbZJD557WsMvO4HcwcCzzwtceQXPuFDbpJhloM1VJENPBbRpqXLRtsZG70ROOLmWkew/IEPvVAbbZFSlpWr57+B9UJ57joYtW53fW8t10gawssq51LnZ/iZ/4IC8T2W2TSYNl1/qfEyKWZaa1NQiJJlti/25Wut56vmGqEpeiCJpxPEaRhwvrz/7FANtajt2JAmfqmr5+ZeSKkt4KqsiV0bS0CDQ2Oi8vX2HvEwLYiIrlFhGQm2mMru+Wt611wXnA488rKFbN3m7vEJfNdtpaZpXdtjsJ4BVpzmPHgWa7TWpwfz27chsH5Uzw31Rp/q6d5eraw3i/GQiMgAVbNdyYZuQc0zwTwMS7RPzI1VG4vnl6qfN8jIalmoHGGxTO6jFa4K5IqGmaTh5vIZpU+Xt1kokwkmdRktN9Z7kaDpGsF1qnzipaXC0CwwGldlubPL9gSOEcLwhvvCshldf1hAbGx1vSERErVHBNstIQk8tNJfRTXN8hrW2vkMo+fu50dLojsE2tZnqIR2K5b/T02VQqJdlYQ/Zv1ikW7x7ZR8rs63KbUwm35PD2isx0fnG5+vv1NDgvC5n7zPQJiJj4CqS4aM6bWVkyJptIHKTmn0lluLjgT69wz+W9mCwTW1SUyMcbeUyQxBsWwLotBEuLS0Cu3fL6wMHuAfbrWWrVbCt3qhMQcxqK2osVVXe97nWa7MPLREZibNmWx+lhkZ2pExeZnRzLkAVqZptX+tKDMlF1Jy1ZbBNbaKC4MREOTEw2CwBdNoIl337ZJY4IQHo3du9T3Baqv8lYj3LSEIxOVG1O6qu9r5PdSKJj4+OZWyJiALFCZLh0dIiHI0KunWDLstIjouihcnZjYQC9s1qgWVv29vthKiRfCCdNsKluERe5vSTQavMJh97+XWvzLYp+GNLaaVuUWW2uRQ2ERlNilkDIFpd1Is6rqICaLHJs7gWi3OthoMHBYDwJ3F8ZbaHDYueZBKDbQqIEAJ/udt52i4tVMG2PYi1WmWrn4SEyL2YVI9t9QXANcBuNdi2ZwBKQxhsOyYJ+chs1zPYJiKDYmY7PFQJSbpFlmrIhd0E9u2LzHh8BduDBoR/HO3FMhIKyMGD7rdDldk2m4G4OHm9PMJ12yqQVSUbrt1IWuvt6VhOXa00GYpHfzM/AAAgAElEQVQyklY+cFSwncRgm4gMJpnBdliU2YPtbvaMdrZ9FeVfdRRs946SyZEAg20K0M9b3G+HaolUTdMcQW2k67bVBBwV2Pbv77xPfSHwxTOTHYoJks7MtvckIRVsJzDYJiKDaS3RQMHjmBxpXylaBbb798t6bn/27ROorw/+5FWrVT6n66T/aJkcCTDYpgAVl7i/eEKV2Qb0M0nSO7PtfGEfOuT/cZ7BdWgmSMqxbP4ZOHzY/djUMbNNRAblKCNhzXZIqTlHKrOdYV9wrqUFqPJRvggA//6PwMWXCix8NBTBtrycfgFw7dUann8megJtgME2BeiAZxlJiDLbgEuwHekyEnvmRAW2ANA/R16ePN7/Cz072/12Ughrtjf/DPzhT+5vbOpLgtqHiMgoWLMdHmVl8nNFBdmxsZoj8aRWVvZ03/0CQgBf/htobg5uwF1rD7ZTUzVcebmG44+LrmCbEyQpIJ41264BaLCpJdtLS0P2IwLiK2h94v80bPgOOGOi/8flDpaTE1U5R9/s4P+tUlzG9OuvsuTFbJY/xzMjT0RkFOr9uL4eaGoSiIuLrqArWpQ52v45/75pafLzxVew3dIioGmAsMfYW7cBI44P3njUYnoq+I82zGxTQPYfcL89MISzgLtnyRf3oUORXbTAV9Canq7h7LO0VrukxMZqGDnCefuU8cEf29Ah7nXjB1yOj6rjTmFmm4gMJtnlTCFLSUJHLZjmur6Eul7hEmwLIfDmWwL//o8z0AaAffuDO5699omZ0TQp0hUz29Qqm02eFlL1W+8u12CzAb16hi6b0KO7vDzYSl10ODiC7XYErXfdoeGxxwWGDtGQmhr8v1Xfvhr+9YEsIdm6Vb6xDR4s7/NV/kJEZARdumgwmeRKxjU17l2iKHhUmY7rmV3Vhcs1s/31auC5xT4m6gdx8ZumJuGYJxUty7N7YrBNfv3lbhvWrweuulIG2ADQLR0hP23Xo4e8bG0SYjioN5v2BNsZGRoWPhTav5PJpKF3LxlsP/WswGmnAjExGstIiMjQzGY5Ya6Wddsh4wi2XSb4+wq2/fXdVhP1g+HAQcBmk5P+09OD97zhxDIS8slmE/hmNdDYBCx+UX5rTUwMfaANAN1dMttCRK6UxBFs6zhoHZ+vSm6AXbvkNgbbRGRkra2gS8FR7SOz7SwjcX4ul5b6/oyuC2Jme59LCYmmRecZWwbb5FOFj04g4aoB7p4FdOkCNDZGbpJkQ4NAY5O8HorWfcEy5SwNxw2X16+6TmD1t8IRbIeyYwwRUaSoREKkO1YZVXOzcATLrsF29+4y0N30k3Pbr3t9P0cwe22rnxGtJSQAg23yQy017ipcmdLYWA29e8nrxSXh+Zmeau0TbzRN38E2AJw4xnn9iSeFS812ZMZDRBRKeik1NCrX1Rpdg+1JpwOxscDWrcDevTKY9u5UZn+OoGa25c+K1smRAINt8sNXRjmcwVu/fvIyUsG2Y6l1k6yD1rOz/p+z/+mBg87OJOmWyI2JiChUetqD7f0HItuxyqhUwiYp0X2VRovFmQg7bI8RVNcSRXXiqg9izbbqRNKnt74/i1vDYJt8imRmGwD62heGKSmJzJupr3o1vcrpp+GTDzUk2VeuFAJISgJ69ozsuIiIQkF1wzpw4Bg7Urv46kSidLV3fymvkHOqPOvmRxwvj00wa7ZV8k/N54pG7EZCPu3f7x3khrNvs6wNEzhSFr6f6aq1Nxs90jQNfXoL/LJT3h40UP8ZeSKi9ujhyGxHdhxG1drnn2tHErmwkLz9x1s1pKXJuVZAcINt1f2kaxS3eWRmm3z63w/e28KZ2VYlEOXl4fuZrtRiCdESbAPu9WyDBkVuHEREodSvr7w8cACoq2MpSbCpOUsmk/d9KuCtrASq7JPxY2OB6RcAZ56hISlRbgtWsC2EQKW9VCUtrfV99YzBNnl59TWBbdu9t4dicRZ/VC9NtWRsuEVbZhsABg10Hp/Bg5jVJiJjSk/XkG6RJXO7iyI9GuOpb5CXiYne9zkz2+6dr1RLPlXOGKyabasVaG62/+zU4DxnJDDYJi/rNzgzBf1znNszMsI3hm72YLucwXbAhgxxXh/MzDYRGZg6e6dK5yh4VKCsAmdXXdNkUF1e4Zwc6XrWOzGAzHZ9vUBDQ2BnJFRWOyEBSEyM3iQSg20XmzZtwnXXXYe8vDyMHj0aM2fOxEcffRTpYYWdyibfebvmtlpTRrfwjcFiLyOpqwes1vCfJqyplT8zmoLtobnO6/1zIjUKIqLQU8H2zl0sIwk2FWz7ymw7FrapcC6gluqScTbZA3RfwfY/PxCYcLoNk88WuOAigdraYx87Va8dzVltgMG2w/r163HJJZfgu+++w5QpU/Cb3/wG5eXluO222/D8889HenheGhoEKqtsQX9em03g8GF5fewY9yby4cxsm0zO2q9Dh8P3cxVfS9XqncWi4cnHNTz3tBbVGQAiomNRpXI7mdkOOkewneB9n6qX37LVOUHVNbOd5lhlEmhpcQ+m//WZ83ZNDTDlPIGystYDbkewHcX12gCDbQBAc3Mz7r77bmiahjfffBMPPvgg7rjjDnzwwQcYPHgwnnrqKezZsyfSw3Rz2VUCZ51TEdSsr9UqcPSorI/qEiOD694ufS3DmdkGgGHD5OU770Ygs+0oI4muoHXMCZqj9RIRkVENGigvd+2SSSIKnjr76o+JPspIhgwBenSXmevnFsv9hricVe3WTcYPLS3AUY8y0FqPNoEA8ONP3ttcqWA7lZnt6Ldu3TqUlJRg6tSpGD58uGO72WzG7373OzQ3N+O9996L4AjdlZYK7N8P1NQIlPwanOf86GOBs84VeP1N+eLJyJTN7F2/TYb7m+XVV8qg8Ysvw19KUhuFNdtERJ1Fdh8gJkaWGh6NUNcqo2pQNds+ykg0TcO4cfK6zX5y/ZTxzgRPly4aMjLldc+z0iqJdfpE75/lj2r/G+5kX7Ax2AawYcMGAMCECRO87jvllFPc9tGDrdtcbgQpBv37Y/KJVrwvb48eJS9PmyDb8J2U75xtHC6jRgK9e8lTWt+uDeuPdi55zmCbiEh3XJNBFRXO7U8+bcO06TYUFzPb3V519gA4IcH3Z/7woe7bBwxwv797lrw8dMh9u2qp+9trnY8vr0CrSo/YE4BhLGMNBQbbgKNEpJ9aI9xFWloaLBYLiouLwzwq/9TSpYCzRU9HVFV7vylNmypfDCkpGla8o+GRh8NfmqBpGiaeJq/PXyCw6CkbDh4MzxuoY7n2KKrZJiLqTCxqNUN7ZvvgQYF33pWZ7rlXCOzbx4C7PRpa6UYCAEOHOq+npgLx8e7xgVrp0TWz3dgoHAveWLoCsy6S1ysqWz9GavXIrMzoLo/kCpIAauyRVYqfVVvMZjMOHjzo9/FpaWmIiQnf95YZ01vw7PPy62BcnBkWS3yHnu+/X9cDqHXcPufseJw+MYwr2LRiyllNWPa27P3z7gpgQ6GGTz+yhPznWq3lAGzo1SsVFkv4XiYWS+h/NwofHk/j4THVj8zMSuwuakZjYzIslgR8+HEdAKvj/jVrE3H9dT5WZnHB4+mtpaUKQBPSLSZYLN61JCNHCACyIDu2i+b1N+zZoxZAPerqE2CxyIxVWZkNgPxW1Lu3BT171gGoQ501ARaL/1PI5eWVAJqRkyOPcSD0eEwZbAdBpargD5PEBGDE8cBPm4EjZTUoLz/2N77dRQKP/Z/AoIHAH291fjHYtVvg7nvdv1nm5zWhPFJLN3oY0F8gMwMoPSJvl5TYwjK2qmpZjCZsVQH9fYPBYrHo5u9OHcfjaTw8pvpiNsv36b37anHkSC1eXuL+WXbocB3Ky/2f/uXx9E19/tlsVpSXt74UZK1VeP0NY2PlcSgrq0d5uUxn79svt5lMQFVVBRIS5O1DhxtQXt7k9/kPHpRjSUqqRXm51e9+SiSOaSDBPctIIDPXAFCtmkZ6qKmp8Zv1jpQE+xe8Y00uAGSbwJtuEdj0E/DeP91nbn/9jff+elrqW9M03PbH8J4+am4Wjh6hnCBJRKRP6fYY59u1Ak8+LVBmn0w3/iR5WeOj+wUdm6P1n58yElcNPr7LqJa5rt1HPJsOqBKgoj3eLQJdqZpu1zU/ohGDbQA5OTkA4LMuu7KyEuXl5T7ruSNJNZsPpGZ79Rpn83lABtivvCpgswn8tFn+J7/2ag1/vVPDLTdpyOmnr9qonj3D+/Mq7CcqYmJYs01EpFcWi/ys+n6jc3L/4EFA/ji53U/+jI6htT7byvHHycvTT/O+L9keUNc4q1MdTQdUID58GBAfDxw44DvpB8g676Ym98dFKwbbAPLy8gAAq1ev9rpvzZo1AIBxqteNTiTYy7R9fav0tOE792+Nd98n8MqrAl/+G9j8s9x2ynjgnLM1zJ6lr0AbAHr2CO/PU+X5GRlyxjsREelPnz7ut5MSgZcWO7uUMLPdPiqJ52sFSeXBBzTceL3vM8+OzLZLsK2uqwRWRoazAYJr0wdXtS5VI/4ma0YLBtsAxo8fj+zsbHz88cfYunWrY3tNTQ2effZZxMbGYvr06REcobcEldk+RhnJDz8K/OsT3/etWy9gtcoaKs/WPXqSlOR8UYYj06zaFYU7yCciosAdN9z99pAhss+zatnKzHb7qDLK1gLcjG4a5v5GQ9eu3sG2+px2zWyr666lmVn2ftxHj/ouI7HaH5OUKI9rNOMESQCxsbF48MEHce211+KSSy7B1KlTYTabsXLlSuzduxe33nor+vfvH+lhulGndxoaBAD//wkL7VntxERg6BDghx+d931jT+Qff5z+/yPP+4OGr76WXw6EECHt+X3QHmz36B6yH0FERB2kgjVFZVlVQMfMdvs4stCtN3Lxy1fNdo2PheLS0zUAwu+iRCqzbYryEhKAwbbDSSedhGXLluHJJ5/Ep59+iqamJgwaNAh/+MMfMG3atEgPz4s6vXOsMhL1n/iSizXHbGBFNa5Xy97qmXrRCyG/dZva+SYQiIOH5N+pO4NtIiLd0jQNzzwJ7NwFzLjQufBaqr2fATPbbdfS4mwQ0N4g11fNdm2t/Fx1PTutmnj4ax5itQfb7Q369YTBtouRI0fipZdeivQwAqK6kRxrgqT6T5xuUfXH3qdrevbUd1YbkF8uYmLk8rDWEAfbFY7Zz/r/uxARdWajRmoYNdJ9m2oeVlMrg0e9n7kNl23bBTb+D5g90/98pDqXTn8dzWzX1Tn//jUeEyQBZzcZv5ltjzrvaMaa7SilllGtrwOeXWzDc4ttPvdTwbYlHTh/qu/nioZyCU3TYLLXj1lrW9+3o9S3aVOUT8ggIuqMUlIAVWn490eFV2u5hgbvbZ3BHXcJPPu8wPwFAqWlApWV3n8HVboRF+e9MmSgXINj9XzOMhLnczqC7aOyPNSTo4zEAJltBttRSpWR/LwFWPYW8OZbQFmZ939W9Y3R0hWwdNXwxlINLz6v4aR85z49omQioDqlZT12X/sOsRroBU5E1NnExmqOQO6Tz4CVXzjv+/LfAmdPFbjims4XcKs+5P/9Cpg+S+C8CwQefNgj2O5gvTYgg/T4OPvz2YNsxwRJl0C8Rw8gPg6oqgLWbfB+HpVYM8JnMYPtKKUmSJb86tx2wMeK8q5lJACQ00/DsKEaLpvr/HYZDZltwPkirQpxHZ5V1asZ4AVORNQZuWZXt213BpRfrpK9m/fsAQ4c8H1G2Kh89RX44kv329YgTUr0rNt2BPEuEyRNJg3TzpfX//Nf/5ltlpFQxCT5CAQPegTbdXXC0RrQc/WlUSM13HWHhvvv1ZCUFB31bFlZ8lJ1CwkVZraJiKJbk8sK4CveB37cJIO5w6XO7cUlLWEeVeQ0Nwv4qNTwEozMNuAMkNXz+Wr9BwCjR8n4o6jIfXtjo8ALL4mgjEUPGGxHqYxu3ts8g1BVQpKQ4Ltf5rnnaDhzUnQE2oBzJckDB4N/6s9mE/h5i1xVs44120REUa2xyf32TbfI9/fDLp+TJb92nsx2dYBtEIOVTTZ79Nr2NUESAAbYuyoX7ZGfw0rBCqDF/l1IBeTRjMF2lMrM9N524IB7EFruUq8dyr7U4dKzh/wdPDP47fXZSoGVX8q/2TPPCVz/O4EnnxHMbBMRRbmxY7y37dwFVFQ6b3emzHaV/fc2JwMjjne/T67XIaluXB39/Ev26LWtgm3PIL5XL1m3XV/vnjBcvUaO6eabNJxxevTHL2z9F6W6pXtvKy5xv+3aicQI1IqOBw50/Ll++FHgwb/JF/OgAcDyArn93RXOfRhsExFFp1t+ryGru8Drbzi3XX2de0Jq+/bmMI8qciqr5GVaGtDs8WvX1soz4M3NAv+3SP6NOvr5Z3ap2W5uFo6e55au7vvFxmrIyBTYvx8oLQV62c9g/7pXXo4e1bFx6AUz21FKtf4DnBMci4rc2+cc9ZgcGe1ycuTljl/cv4m3x3v/dD7+8qt9PxeDbSKi6JSWpuH6a2OQne1/n63bWny2nDOiKnuwnZrmvRieyjrv+MW5raPZZNea7aoquSCdpgGpqd77quRh2VF5WV0tHBn27D4dGoZuMNg2gLw8ueBLZZXzPyvg3Ykk2uX0AzIzgMZG4O135Lfl9ninQGDVf1rfJz7Of9N/IiKKDk/8Q0Of3u7bTj5JvsdXVwvs+AX45wcCVquxg25Vs51idq4e7Xnfj5vk5YRTgImnduzzz1mzLVBuD5zTUuFzgaFu9jloqjWhymp36yY7lhgBg+0odtcdJuTmAr+9RnMsLb5/v/P+8nL55tHVIMG2pmk48UR5/cWXBV57o/X9/Xn6Oe831X59gSn/z3mbWW0iouiXlaXhbwvcA7Zu3ZwT7q/5rcBjjwu8+rqxg+0Ge4CdmAicfpr7fSqzvX2H/BscN7zjAa5rzbbKUnft6nvfDEewLX/+pp/k7YEDOjwM3WCwHcXmXpKEV16IgcWiIdW+PG2ty+qKqkara5oxvhkC7m8Cr7za9jdHm03A5mMC+oMPaI43XwCwGOQLChFRZzdggIZzz3Hejovzfo9f9lb7z5ZGg3p76UhiAnDNVRruuE1zlNiojiEqWde3ldKbQKXYV4qsqXGeZfcXbHfrJvdVme116+VxOGmccWIXBtsGYfZoIA8Yc9nxYUOd13v1avvjj9rLbGJigPvvky/k888D+udoyO7jfGFfdaVxXuRERJ3dXXfE4PypMrM7Z7bmtfYEADzxtIGDbXtmOyERSEzUcP5UDYMGym2//gpUVgrstzcfcE08tZcqDSk94uwA4y+JpTLbR+zBtuq5PXJEx8ehF+xGYhCebXYAYy7Oot4cADmruq3Um0lWJjDpdGBoruYI2k+fCFTXaBg6BDj+OAbbRERGcvufNNx6s2wwkG7xDqzf/ydw3jkCQ4cY7/1fNRVQq08DwMABGv7zX4GXXhFY8irQYj/rqzp/dYQqbT14ENi1y17S6iez3cP+8/bvl00eHMG5QTqpAcxsG4ZnA3nAmMuOx8ZqeOZJ+UZY3Y5l2/fZT5P17ClrwHv31hw9yBMSNMycoTHQJiIyIE3THJ28LBbn+/z55zn3ufOvxsxu17vUbCu5g53XVaBtNgMpKR3/DFQB9OFS4KN/yetZmb6ft7c94XXwEFBZ6VzMpms7Emp6xWDbIFRmu6bG+UZRZ8BgGwBS7PXp1VVtf6z6hq1WrSIios7HtUtXdrazpvvIkciMJ9RUzbZr2+ChQ7z3C1b3Ml/P0z3L974ZGUB8vAyy122Q25IS3cca7RhsG0RrNdu+lmqPZqpPZ3WN+/Kugfhlp7wcPMg4L2IiImobtW4DIDO8N17v/Eww4kTJBh+Z7fR0zSs+SDYH5+fFxGhetd9ZfoLtmBgNWfZVsdVic+0pE9UzBtsGkZws3yhqDT5BEpB9QgHAZnP/fY9FCOFo2j94cOv7EhGRcY04XsPLL6Ri8bMaxp6oOT5XgPaVKOpdQ6O8dK3ZBoAXnnNPPJk9llPviLv/oiFvrPO2v2AbACad4X6bwTbpktljgqTNJgxbRpKQoDm+nVe14U3x0GH5JtqlC9A/JxQjIyKiaHFSfpyjnWxsrOYoUaxsR4mi3rl2I3HVP0fDzBnO28lBDLZHjdRw2zxnMJ+Z4X/fi2e7B/1GC7bZjcQgkj0mSNa7rBBltGAbAFJT5O9YXQUgwBaAv9iz2jk5QHw8y0iIiMgpLVUmZCorIz2S4Gtw6bPtqWtXDYAs3whmZhsAevfW8Ieb5fPGxfn/3E1Olsu5C3sFj5EmRwIMtg1D1WyrsgpVQhITAyT4eHFFu5RUOcu5LZntXbvl5eBBoRkTERFFr7Q0YO8+Z19oI/HVjURxbckXrJptV7MuOnZyq0sXDSkpAlX2swrB6PWtJywjMQjPzLZq+5eUBEdrOyNJs0+SrGrD6b6KCvmVOTMzBAMiIqKopkoXqowYbDu6kXjfp3piA4A5OXLxgloJGwD69DFW3MJg2yA8a7at9qDbaJMjFfWibEtm2zlh1FgvYiIi6jiVxDFiZttXNxIlu7fzenIEy05VpzEA6NPb/37RiMG2QThWkLTKyZElv8rbPYKwEpQepbQjs23U7ixERNRxKrNdWWm81n/1rdRsu8YJ6qx4JLjONevTJ3LjCAUG2waharaFkIvZ/LJTvlkYtT5ZZbarqwN/UzTiippERBQcaWnyrGdbkjjRQAjhOOvt6/MvNlZz2TdMg/IhNs553dLVWGegGWwbRHw8EGuf7lpTa/zFW1JTW39TFELg9TcF1nxr/BU1iYio41Rm22hlJFYr0Ngkr7tOhnR1800acnOB6ReEb1ye/vB7DWNPBF5bYry4hd1IDELTNJiTBSoqgZoa2VMaAHobrO5JST1GP9RNPwGLX5SB9ter5ApVjjISBttERORBBdtbtwH3P2jDmZM0TDg5+gO/8nJ5mZQIJCb6/n3mzNIwZ1Zkf9dRIzUs+kf0/719YWbbQBwdSWqAigp53d+32Gin3hTLK3zff6TMeb24RF4adfl6IiLqONXbubwc+OJL4M1lxqjdVp+TXS2RHUdnxmDbQFR/zKoq53KzFoMG22rZ18OHfd9f5hJsf79RXjKzTURE/rh2wwCA/fsjM45gU8k3o8YD0YBlJAai2v/tPyAvNc37zcMoVF/QsjKgsVEgPl6DEALPPi+QmqqhwmU2+SuvCpx+GidIEhGRf57BqFHOgqrMtoWZ7YhhsG0gqrRiT7EMNFNT5KpMRtQ1TU4KbWwESo8AvXsB27cDby0HAIFxec59q6qAl14RaLJPEGHrPyIi8tS1q4bf3QDsLhL47HOgrv7Yj4kGqmbbqGWl0YBlJAaS0U1e7rR3IjHyC0vTNEcpyaFD8vKnn533byiUl5PPlJeqlARgZpuIiHy75GINl18qk1T1Bgm2DxyQCbgsrp4cMQy2DSQzU75B7Nwlbxs52AaAXj3lZYl9AuSWrd6TWfLGyr/JgYPytjnZvacoERGRqyT7Kov1dbKNbLRTTQL69eVnX6Qw2DYQldlW5RJGrddWhg6Rl1u3yzfDCh+dSYYNdV+edtKkMAyMiIiilvrMaLE5P0+jlRACe4rl9X79IjuWzozBtoFkZLjfVhMmjWr4MPktfetWeVt1G3GVbgEG9HfePvUUfrMnIiL/XCdGqmXOo1VlpexOpmlA3+xIj6bzYrBtIJke9VhqCXejGjhAXu7dC9hsArU+gu2UFKBfX+ft/v299yEiIlJiYzV06SKv19dFdiwdpVbDNJuBhAQmmyKFwbaB9OwBxMU5bxs92M7MlN/WG5tkCYm11nufLl00xMc7b3fPCt/4iIgoOjnqtgOcJNnQIPDlvwXq6/VV463W3EhJiew4OjsG2wYSG6shx6Umy2w29rfY2FjNUad+6DAcmW3X4BoALpgm/w4njpFdTIiIiFqTaC8lCbT938uvCsxfIPDAQzoNtg2efNM7Q/bZLiwsxKpVq7B582Zs2bIFNTU1mD59OhYuXOj3MTabDcuWLcPy5ctRXFwMk8mE/Px8zJs3Dzk5OeEbfAcNGgj8Ym/9l2zwmm1ALm5TegQ4eNBZsz16lLP1HwDkDtaw/E3jd2chIqLgSGxjZrvgXXn59TehGU97MbOtD4bMbK9YsQKvvPIKfvrpJ2RlBVY3cN9992HBggWw2Wy49NJLMXHiRKxatQozZ87ETtW4Ogr07+/M3HaGb7KqLGRPMaA6NN3+Jw0n5QMPPeD8W/TurSE5mVltIiI6traWkbjOmTpyRD/Z7eoaeclgO7IMmdmeO3currnmGgwYMAA//fQT5syZ0+r+69atwzvvvIOxY8diyZIliLfXIVx44YW46qqrMH/+fLzxxhvhGHqHuc427iyZbUCu+AUAMTFy22N/N+T3SCIiCoO2ZLaFEDh61Hm7vMK7O1ikMLOtD4aMSEaMGIHBgweji5pOfAwFBQUAgFtvvdURaAPA+PHjMWHCBBQWFqKoqCgkYw227D7O650i2M6S2eqiPfK2ycS6bCIi6hgVbAdSs33osHtQXqejDibfrpWJKKM3TNA7QwbbbbV+/XqYTCaMGTPG674JEyYAkHXg0aBXL+d1z4mCRtS9h7zcs0dedoYvGEREFFqJLqtItqa6WmDmHPeyEV9rPkTC1m0CW7fJ6wmdIB7QM0OWkbSF1WpFaWkpcnNzfWbC1eTIPSqa07m4OA233ATsPyjcFnMxKs9WfqYk3/sREREFKinAzPaG77y36SWz/d33zuvZfXjGN5I6fbBdbS9oMvs5x6K219TU+H2OtLQ0xMRE5iSBxWLx2nb9byMwkAgZMsQGoNxxOy0tFhZLWuQG1EG+jidFLx5P4+ExNRZ/xzMtrQZAA4BEWCwmv483JzcAcI8PtBgTLJbE4A2ynX7ZWQWgCdnZMZh+YVfEx3eOgFuPr1HdBtv5+fmoqKgIeP/XXnsN+fn5IeP0sCQAACAASURBVByRf5WVlRH5uRaLBeXl5cfe0cCEEOjSBWhpkbfj45uj9m/C42ksPJ7Gw2NqLK0dz5gYGwCgoqIO5eX+12wvdek8cuopwDdrgLIjVpSXRza9LYTAjz/Ksd35Z4Ha2grU+lj4zWgi8RoNJLjXbbA9depU1Lbhf0ZGO6f+ptin6PrLXKvt/jLfFFmapsGcLFBZJW+b/CcgiIiIApKQIC+P1Y1ElYyceYZzIRyrDspIDh0Gyo4CXWKAIbmRHg3pNti+5557wvJzTCYTMjMzsXfvXrS0tHjVbata7Wha2KazSTbDEWxzgiQREXVUUpIGQByzZltNhkxKcll1sk4AiGzJxpat8nLgQCAxsXOUj+gZu5EAGDduHKxWKzZu3Oh13+rVqwEAeXl54R4WBcjsEmAnM7NNREQddKw+21arwNr1AlXVslQjKUn+A/QxQfLgQXnZPyeSoyCFwTaA2bNnAwAWLVqExsZGx/a1a9di9erVyMvLQ//+naC1R5RyzWazjISIiDoq6Rit/x5aKPDnOwSWvyNvm0yAKUlmkPVQRlJdI78EpKRGeCAEQMdlJB3x3Xff4d133wUAHLUv6/T999/jzjvvBAAMGDAAv/2ts2XHSSedhFmzZqGgoADTp0/HxIkTUVZWhk8++QRmsxnz588P++9AgTO7Bds8XUZERB3jyGz7mRv51dfut5OSNOdCODoIttU0tBRON9MFQwbbJSUleP/99722lZSUAJBlI67BNgA88MADGDJkCJYvX47XX38dJpMJZ5xxBubNm8ests4lu7yZsGabiIg6qrUVJJuahNe2pCTnY/SwqI0Kts1mJqD0wJDB9owZMzBjxow2PSYmJgaXXXYZLrvsshCNikKFNdtERBRMra0gWfKr9zaTyVl6oocWe85gO7LjIMmQwTZ1LqzZJiKiYGptgmRpqfc2UxJg7ySMav9r4IUNg2194QRJinquddpZWa3sSEREFABHZxEfwfaRMt/7q/ro6qrQjStQ1azZ1hUG2xT1xo0FsjKByy8FBg1kfRoREXVMa5ntMh/BtsnkktmuDt24AsXMtr6wjISi3uDBGt4rYJBNRETBkeiygqQQAprm/IwpK/OeIJmc7Ay2G5uAhgaBhITIfS4x2NYXZraJiIiIXKgyEgBo8Gj/V3bUe/9kk8xud7FHVVURLCVpahKOjDyDbX1gsE1ERETkIiHBed2zbvuoj2DbbAY0TXME6QUrvLPf4VLjMkGTHbr0gcE2ERERkYsuXTTEx8vrnu3/Kiu991dBdo297d+yt4GWlsgE3GpyZHKy/D0o8hhsExEREXlI8rOwTZWPCZCqptu1/WxxcYgGdgys19YfBttEREREHhLswbZrzbYQotXWfo8udGaSt24P0cCOgcG2/jDYJiIiIvLgyGy7lJHU1AAtNnnddfViZdRIDRdNl9f37otsGQl7bOsHg20iIiIiD756basuI4mJ/lcsTk+X2W1fEynDgZlt/WGfbSIiIiIPvlaRrLQH26mpzjZ/nrqly8tyBttkx8w2ERERkYfWMtupKcBll8oM9qQz3B9nschLX/24AWB3kcB1N9qwdn1oykxqauTzMtjWD2a2iYiIiDw4VpG012wLIfD1ahnIZmUB558HDBuioV8/98epzLa/MpIHHhTYuQv48x0Cq/8b/NZ8R47IS9Zs6weDbSIiIiIPifYyknp7N5LPVgIffiSvT5uqQdM0DB7s/TiLCrbLAZtNICbGPaAuLQ3RgAE0NwusXS+vjziePbb1gmUkRERERB4cNdt1Mpu9a5e87NcXOOVk/49Lt8h67pYW4HAIA2tfSkqAigq5oM2YE8L7s8k/BttEREREHlRrPzXhUC1mc/YUzbGIjS9xcRoGDpTXt271vr+Vh3aYavtnsQCxscxs6wWDbSIiIiIPKSkyWK22B9nqMpBa6OHD5eXPW8Lba9tqry/315aQIoPBNhEREZEHFVSrbLEj2E459mMHDZCB+r59Pu50STg3NAQ3GLfWystkBtu6wmCbiIiIyIMKqj0z26mpx35sun2SpGr/d+iwwA032fDZSoHmZud+Va0s/d4eVqu8ZGZbX9iNhIiIiMiDI9j2zGwHUEaS7tH+b9lbApt/Bjb/LNxqtisqgMzM4IwXYBmJXjGzTUREROTBM7OtJkimBJDZdu21LYRAk0s2W7hUjuz1VWbSAbUsI9ElBttEREREHtQKjNXVQFOTcKwkGUjNtspsNzbJbiaupSOudhcFuWbbKp+PmW19YbBNRERE5EGVizQ2AqX2VRljYpwtAVuTkKA59jt61Lmqo5KTIy93FwVlqA61jppttv3TEwbbRERERB6Sk509sXfulJcZGfBaEdIfVYv936/dg+2cHOC6a+RzHDgQpMHacYKkPnGCJBEREZGHmBgNZrNAdTWwa7fc1j0r8Mf36wcU7QFefNlZKvLIwxpGHO/MaKsJjcFSx2Bbl5jZJiIiIvJB1WfvtC/VntWGYDu7j/vt2FjgxDFysRyTWgreGoRBuqhlsK1LDLaJiIiIfFB126qMpHv3wB+b0c293KS5WdZyA85g2BrkYNtRRpIU3OeljmGwTUREROSDymzv2y8vu2cFPvHwvHOBM89w3r54tvN6ksps1wM2W/A6kqhgOzmASZwUPqzZJiIiIvLBs81fW2q2ExM13H+fhrvuFFj1H2Diac77XMs86uuDV/bBMhJ9YmabiIiIyIeOBNtKQoKGc87W3NrxJSTINoJAcEtJWEaiTwy2iYiIiHzwXJq9LTXbrdE05yTJYHUkaW4WaGyU11lGoi8MtomIiIh8SElxZqOTEgNbPTJQqm47WJlt1+dhGYm+MNgmIiIi8qF3L+f17GyZkQ6WYHckUc8THwfExnIFST3hBEkiIiIiH06fCDz8oIZdu4HTJgT3uVWwXRekMhJHvTZLSHSHwTYRERGRD5qm4dQJwKlBDrQBlzKSIATbe/cK3P4X2UKQJST6wzISIiIiojDr1k1eHjrU8ee6936Bg/bnYScS/WGwTURERBRm/frKuuri4o4varPjF+d1Zrb1x3BlJFarFV988QVWrVqFbdu24cCBA4iPj8fQoUNx8cUXY+rUqT4fZ7PZsGzZMixfvhzFxcUwmUzIz8/HvHnzkJOTE95fgoiIiAytX195uackuM/bI0jtCSl4DJfZ/u6773D77bdj3bp1GDZsGK644gqcddZZ2L59O/70pz9hwYIFPh933333YcGCBbDZbLj00ksxceJErFq1CjNnzsTOnTvD/FsQERGRkfXvLy+3bgV+2dn+7LYQ7o/t25edSPTGcJntrKwsPPbYYzj77LMRFxfn2P7HP/4Rs2fPxhtvvIELLrgAI0eOdNy3bt06vPPOOxg7diyWLFmC+Ph4AMCFF16Iq666CvPnz8cbb7wR9t+FiIiIjKlfX2DMCcDG/wEf/0tg3h/aFySXl7vfzsgIwuAoqAyX2R46dCjOP/98t0AbADIyMjBnzhwAQGFhodt9BQUFAIBbb73VEWgDwPjx4zFhwgQUFhaiqKgoxCMnIiKizkLTNEw5y1633YFSkg3fud8eOqQDg6KQMFyw3ZrYWJnI79Kli9v29evXw2QyYcyYMV6PmTBB9vvxDNCJiIiIOqJvtrws+bX9z/H997KMZFye7Ak+aCDLSPSm0wTbLS0t+Oc//wlN03DyySc7tlutVpSWlqJPnz5eQTgAx+TIPXv2hGmkRERE1BmoYPvwYaCurn112+UV8vLMSRpOncBAW48MV7PtzxNPPIEdO3bgoosuQm5urmN7dXU1AMBsNvt8nNpeU1Pj97nT0tIQExOZ7y0WiyUiP5dCg8fTWHg8jYfH1FgifTwtFqBr16OoqBCorEpFr15tD8uamioBNCMzMxkWS0LwBxllIn1MfdFtsJ2fn4+KioqA93/ttdeQn5/v877ly5dj8eLFGD58OP76178Ga4gOlZWVQX/OQFgsFpR7zoygqMXjaSw8nsbDY2osejme2X0EKiqAzZur0KN72zPTVVU2AICtpRbl5dZgDy+qROKYBhLc6zbYnjp1KmprawPeP8PP9NsVK1bgvvvuQ25uLl555RUkJye73Z+SkgLAf+ZabfeX+SYiIiJqr+xs4KfN7a/brrMv987FbPRLt8H2Pffc0+HnePfdd3HPPfdg0KBBWLp0qc9vHyaTCZmZmdi7dy9aWlq86rZVrTYXtiEiIqJgkytJCpT8KgC0PbNttSezGWzrl2EnSL777ru4++67MWDAACxduhTp6el+9x03bhysVis2btzodd/q1asBAHl5eSEbKxEREXVOasXHI0fa93irPbOdlBSc8VDwGTLYLigocAu0u3Xr1ur+s2fPBgAsWrQIjY2Nju1r167F6tWrkZeXh/5qqSciIiKiIElLk5cV7Zj+1dIiUF8vrzOzrV+6LSNpr7Vr1+Kee+6BEAJjx47FW2+95bXPsGHDMHnyZMftk046CbNmzUJBQQGmT5+OiRMnoqysDJ988gnMZjPmz58fxt+AiIiIOouuXeVlG3pCOKhAGwBMzGzrluGC7QMHDkAI2aty+fLlPveZPn26W7ANAA888ACGDBmC5cuX4/XXX4fJZMIZZ5yBefPmMatNREREIaGC7aoqwGYTiIkJvG5bTY7sEgO4LIBNOmO4YHvGjBmYMWNGmx8XExODyy67DJdddlkIRkVERETkrau9jMRmkwG3Cr4DoSZHJiXJ5d9JnwxZs01EREQUDWJjNajuwm2t22YnkujAYJuIiIgogtpbt21lj+2owGCbiIiIKIIsHQy22fZP3xhsExEREUWQqttua7DN1SOjA4NtIiIioghylJG0s2abmW19Y7BNREREFEHOmm3Rpsc5Jkgy2NY1BttEREREEdS1q2zbV14he20HimUk0YHBNhEREVEEqZrtVf8Bppwr8K9PAwu4rVa5H8tI9I3BNhEREVEEqTISIYC6euDhvwcWbDsz21zQRs8YbBMRERFFUFZW+x7H1n/RgcE2ERERUQT16+seMMcEGJ1xBcnowGCbiIiIKIJiYjQMH+a8nZ4e2OMcZSTMbOsag20iIiKiCLt4jgZzsrze3BTYY9hnOzow2CYiIiKKsPH5Gl5/VU50rK4GhDj2JEm2/osODLaJiIiIdCAlRV622JyBdGuY2Y4ODLaJiIiIdCAhAYiLk9erqo+9v5WZ7ajAYJuIiIhIBzRNQ4pZXq+uan1fIQTLSKIEg20iIiIinVClJNU1re/X0ADYbPI6u5HoG4NtIiIiIp1ITZWX1X7KSJqb5cRJ15ruxMQQD4o6hME2ERERkU44ykh8BNsb/ycw9QKB5xbbnJMjE2WfbtIvBttEREREOqHKSHxNkLxlnkBNLfDmW1w9Mpow2CYiIiLSCUfNdrV7n22bzf226kSSxGBb92IjPQAiIiIiklSwvXYdsG27Dddfp2HbdiAjw32/Q4fkJSdH6h+DbSIiIiKdSEnRAAjs3CVvF37neyXJoj1yO8tI9I9lJEREREQ6oTLbx7Jrt7zk6pH6x2CbiIiISCfSLYHtt2WLvFTdS0i/GGwTERER6URubmD7VVTKy6ys0I2FgoM120REREQ6Yekqa7YBYMpZQM8ewK97gYuma1j0lMDQIcCHHzn3z8pij229Y7BNREREpCN/uFlDwQqBa67S0KunM5h+5QUNu3YLfPiRc9IkM9v6x2CbiIiISEdmXaRh1kW+M9b9c4Bu6UDZUXm7O4Nt3WPNNhEREVGUiInRcPpEeT0+HujdK7LjoWNjZpuIiIgoivz2Wg1DhwJDcgGTiTXbesdgm4iIiCiKJCdrOGdKpEdBgWIZCRERERFRiDDYJiIiIiIKEQbbREREREQhwmCbiIiIiChEGGwTEREREYWIIbuRvPDCC1i3bh127dqF8vJyJCUloXfv3jj//PNx8cUXIykpyesxNpsNy5Ytw/Lly1FcXAyTyYT8/HzMmzcPOTk54f8liIiIiCjqGTKz/fbbb6OyshInn3wyLr/8cpx33nlobGzEwoULcfHFF6Ours7rMffddx8WLFgAm82GSy+9FBMnTsSqVaswc+ZM7Ny5MwK/BRERERFFO0Nmtj/99FMkJCR4bb/99tvxwQcf4L333sPcuXMd29etW4d33nkHY8eOxZIlSxAfHw8AuPDCC3HVVVdh/vz5eOONN8I2fiIiIiIyBkNmtn0F2gAwZYrsAF9cXOy2vaCgAABw6623OgJtABg/fjwmTJiAwsJCFBUVhWi0RERERGRUhgy2/fnqq68AAIMHD3bbvn79ephMJowZM8brMRMmTAAAFBYWhn6ARERERGQohiwjUV599VVUV1ejqqoKGzduxObNmzFhwgRceOGFjn2sVitKS0uRm5uLLl26eD2Hmhy5Z88evz8nLS0NMTGR+d5isVgi8nMpNHg8jYXH03h4TI2Fx9N49HhMDR1sv/baa9i3b5/j9rRp0zB//nzExcU5tlVXVwMAzGazz+dQ22tqavz+nMrKymAMt80sFgvKy8sj8rMp+Hg8jYXH03h4TI2Fx9N4InFMAwnudRts5+fno6KiIuD9X3vtNeTn57ttW7VqFQCgtLQU69evx6OPPorZs2fj5ZdfRo8ePYI6XiIiIiIiT7oNtqdOnYra2tqA98/IyPB7X2ZmJqZOnYq+ffti1qxZWLhwIRYtWgQASElJAeA/c622+8t8ExERERH5o9tg+5577gn6c44cORJpaWnYsGGDY5vJZEJmZib27t2LlpYWr7ptVavNhW2IiIiIqK06VTeS2tpaVFdXewXU48aNg9VqxcaNG70es3r1agBAXl5eWMZIRERERMZhuGB737592Lt3r9f2pqYm/O1vf4PNZsNpp53mdt/s2bMBAIsWLUJjY6Nj+9q1a7F69Wrk5eWhf//+oR04ERERERmOJoQQkR5EMH355Ze4+eabMXbsWPTr1w8WiwVHjhzB2rVrceDAAfTv3x9vvPGGV4333XffjYKCAgwaNAgTJ05EWVkZPvnkEyQkJODtt9/GoEGDIvQbEREREVG0MlywvX//fixduhSFhYXYt28fqqurYTKZMHDgQEyePBlz586FyWTyepzNZsObb76J5cuXo7i4GCaTCfn5+Zg3bx6z2kRERETULoYLtomIiIiI9MJwNdtERERERHrBYJuIiIiIKEQYbBMRERERhYhuF7Uh3zZt2oSnnnoKP/zwA5qamjBo0CBcccUVOP/88yM9tE7t0KFD+PTTT/H1119j9+7dOHLkCNLS0jBmzBhce+21GDVqlNdjampq8NRTT2HlypUoLS1FZmYmzjrrLNx8881+Vyz96KOPsHTpUuzcuRNxcXEYPXo0brnlFowYMSLUv2Kn9+KLL+Kxxx4DACxfvhyjR4/22ofHNDp88cUXWLZsGbZs2YK6ujpkZGRg9OjR+POf/4yePXs69uPx1DchBL744gu8/vrrKCoqQnV1NXr06IH8/Hxcd911yM7Odtufx1MfPvjgA3z//ffYvHkzduzYgaamJjz88MOYMWOGz/3Dcdz27NmDxx9/HOvXr4fVakW/fv0wZ84cXHLJJYiJ6XhemhMko8j69etxzTXXIC4uDueddx5SUlKwcuVK7N27F/PmzcMNN9wQ6SF2Wo899hhefPFF9O3bF3l5eejWrRuKi4vx5ZdfQgiBf/zjHzj33HMd+1utVlxyySXYunUrTjnlFAwfPhzbtm3DN998g2HDhmHZsmVeXXOef/55PP744+jVqxemTJkCq9WKf/3rX2hoaMDLL7+M/Pz8cP/ancauXbtw4YUXIjY2Flar1WewzWOqf0II3HfffVi+fDn69u2LCRMmIDk5GYcPH0ZhYSEeffRRjB07FgCPZzRYuHAhlixZgszMTJx55pkwm83Ytm0b1qxZA5PJhLfffhu5ubkAeDz1ZNKkSdi3bx8sFgtMJhP27dvnN9gOx3HbuXMnLr74YtTX1+Pss89G9+7d8fXXX2PHjh2YPXs2FixY0PFfWlBUaGpqEpMnTxbHH3+8+Pnnnx3bq6urxXnnnSeGDx8uioqKIjfATu7zzz8XhYWFXtsLCwvFcccdJ8aNGycaGhoc25944gmRm5srHnnkEbf91fYnnnjCbXtRUZEYPny4OOuss0RVVZVj+44dO8SoUaPE5MmTRVNTU5B/KxJCiObmZnHRRReJmTNnittuu03k5uaK//3vf1778Zjq39KlS0Vubq64//77RXNzs9f9rn9vHk99O3z4sBg6dKg444wzRHV1tdt9S5YsEbm5ueLOO+90bOPx1I81a9aIvXv3CiGEWLx4scjNzRUrVqzwuW84jtvcuXNFbm6u+O9//+vY1tjYKK644gqRm5sr1q5d26HfVwghWLMdJdatW4eSkhJMnToVw4cPd2w3m8343e9+h+bmZrz33nsRHGHndtZZZzkyYq7Gjh2L/Px8VFRUYPv27QBkdq2goAAmkwk33XST2/7XX3890tLS8O6770K4nHR677330NzcjBtvvBEpKSmO7YMHD8YFF1yAkpISrFu3LkS/Xef24osvYtu2bfjb3/6GLl26+NyHx1T/6uvr8cwzzyA7Oxt33XWXz2MZGysrK3k89W/fvn2w2WwYM2aMVynB6aefDgA4evQoAB5PvTn55JPRu3fvY+4XjuNWVFSEwsJC5OfnY+LEiY7tcXFxmDdvHgCgoKCg3b+rwmA7SmzYsAEAMGHCBK/7TjnlFLd9SF/UB7i63LNnDw4fPowxY8Z4nf5KSEjA2LFjcejQIRQXFzu2q2OrjrWrU089FQBQWFgYkvF3Zjt27MDTTz+NG2+8EYMHD/a7H4+p/q1ZswYVFRWYPHkybDYbVq5ciRdeeAFvvfWW23EBeDyjQb9+/RAXF4eNGzeipqbG7b6vvvoKAHDSSScB4PGMVuE4bq3FViNHjkRqampQYitOkIwSe/bsASDfYDylpaXBYrF4fWBQ5O3fvx/ffvstMjMzHbWD6jjl5OT4fIw6xsXFxY599uzZA5PJhMzMTL/7q/8jFBzNzc248847MXDgQPz2t79tdV8eU/3bvHkzAKBLly6YNm0aioqKHPfFxMTgyiuvxB133AGAxzMaWCwWzJs3D4888gjOPfdcTJo0CcnJydixYwfWrl2LOXPm4NJLLwXA4xmtwnHcWoutNE1D3759sXnzZtTV1SEpKamdvwmD7aihvrm7nhZxZTabcfDgwXAOiY6hqakJt99+OxobG3Hbbbc5TltXV1cDgN9Z1Gq72g+Qxz89Pb3V/T2zO9Qxzz//PLZv34533nkHcXFxre7LY6p/ZWVlAIAlS5Zg+PDhKCgowMCBA7F161bcc889eOWVV5CdnY1LLrmExzNKXHPNNcjKysK9996Lt956y7H9hBNOwLRp0xyvWx7P6BSO4xZIbKV+RkeCbZaREIWAzWbDXXfdhcLCQsyePRsXXnhhpIdEbbBt2zY8//zzuPrqq3HcccdFejgUBKquMy4uDs888wxGjhyJ5ORkjB07Fk8++SRiYmKwZMmSCI+S2uLZZ5/FX/7yF1x//fX46quv8L///Q/Lli1DS0sLLr/8cqxcuTLSQyQCwGA7avj6BueqpqbG7zczCi8hBO6++258+OGHmDZtGu6//363+9Vx8pcV8fVN22w2t3rs1T4UHHfccQeys7Nx8803B7Q/j6n+qb/l8ccfj+7du7vdN3jwYGRnZ6OkpARVVVU8nlFg7dq1eOKJJzB37lzccMMN6NGjB0wmE0488UQsXrwYCQkJePjhhwHw9RmtwnHcAomtPB/THgy2o4SqR/JVl11ZWYny8nKfNUcUXiqjvWLFCkydOhULFy70aoh/rHo/dYxdj2dOTg6sVitKS0v97u+vro3abtu2bdi9ezdGjBiBIUOGOP69//77AIA5c+ZgyJAh+PLLLwHwmEaDAQMGAPB/ulhtr6+v5/GMAmoSpK9e1+np6RgyZAj279+Po0eP8nhGqXAct9ZiKyEESkpKkJWV5TVBs60YbEeJvLw8AMDq1au97luzZg0AYNy4cWEdE7mz2Wz461//ivfeew/nnnsuHnnkEZ/txXJycpCVlYWNGzfCarW63dfQ0IDvvvsOWVlZbm8g6virY+3qm2++cduHOm7mzJk+/6k35kmTJmHmzJmO9lU8pvqngrLdu3d73dfU1ISSkhKYTCakp6fzeEaBpqYmAM72fp7U9vj4eB7PKBWO46biJl+x1aZNm1BVVRWU2IrBdpQYP348srOz8fHHH2Pr1q2O7TU1NXj22WcRGxuL6dOnR3CEnZtroH322Wfj0Ucf9duTWdM0zJo1C1arFc8884zbfYsXL0ZlZSVmzZoFTdMc22fMmIHY2Fg899xzbqe7fvnlF3zwwQfo27evo80VddxDDz3k898JJ5wAQPZ4feihhzBs2DAAPKbRQK0YWVxc7NU394UXXkBVVRUmT56M2NhYHs8oMGbMGADAq6++6lUC8P7776O4uBjHHXcczGYzj2eUCsdx69+/P/Ly8rB+/XrH2RJAfplbtGgRAGDWrFkd/12E4HLt0WLdunW49tprERcXh6lTp8JsNjuWa7/11ltx4403RnqIndZTTz2Fp59+GiaTCZdffrmjp7aryZMnO4IzzyVojzvuOGzbtg1ff/213yVon3vuOSxatMjnErQvvfQS3/jD4M4778T7778f0HLtPKb6U1JSgosvvhhlZWU4/fTTMWDAAGzZsgXr1q1D7969sXz5ckfLMB5PfWtpacGVV16JDRs2ID09HZMmTUJqaiq2b9+ONWvWID4+HkuWLHEsNsbjqR8FBQX4/vvvAci1DH7++WeMGTPGkaGePHkyJk+eDCA8x811ufZzzjkHWVlZ+Oabb7B9+3bMmjULDz74YId/ZwbbUWbTpk148skn8cMPP6CpqQmDBg3CFVdcgWnTpkV6aJ2aCsJa6MRMAQAAAsVJREFU8/DDD2PGjBmO29XV1Xj66afx+eef48iRI8jIyMCUKVPw+9//3m9d6YcffoilS5di586diIuLw+jRo3HLLbdg5MiRQf19yLfWgm2AxzQaHDhwAE8++SS++eYbVFRUICMjA5MmTcJNN92Ebt26ue3L46lvjY2NWLp0KT799FPs3r0bTU1N6NatG/Ly8nD99dc71jZQeDz14Vifl7///e/dJqeH47gVFRXh8ccfx/r162G1WtGvXz/MmTMHc+fO9Zp31R4MtomIiIiIQoQ120REREREIcJgm4iIiIgoRBhsExERERGFCINtIiIiIqIQYbBNRERERBQiDLaJiIiIiEKEwTYRERERUYgw2CYiIiIiChEG20REREREIcJgm4iIiIgoRBhsExFRm+3duxdDhgzBZZddFumhEBHpGoNtIiIiIqIQYbBNRERERBQimhBCRHoQREQUPZ566ik8/fTTPu+bPn06Fi5cGOYRERHpV2ykB0BERNFl2LBhmDJlCj7//HNkZGTg1FNPddx34oknRnBkRET6w8w2ERG12d69e3HmmWdi3LhxeP311yM9HCIi3WLNNhERERFRiDDYJiIiIiIKEQbbREREREQhwmCbiIiIiChEGGwTEREREYUIg20iImqzuLg4AEBzc3OER0JEpG8MtomIqM0sFgvi4uLw66+/oqWlJdLDISLSLfbZJiKidrnhhhvwn//8B4MHD8bw4cMRFxeHMWPG4KKLLor00IiIdIPBNhERtUtZWRn+/ve/49tvv8XRo0fR0tLC5dqJiDww2CYiIiIiChHWbBMRERERhQiDbSIiIiKiEGGwTUREREQUIgy2iYiIiIhChME2EREREVGIMNgmIiIiIgoRBttERERERCHCYJuIiIiIKEQYbBMRERERhQiDbSIiIiKiEGGwTUREREQUIgy2iYiIiIhC5P8D4OwazMbZN1EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = [0]\n",
    "\n",
    "for i in range(1000):\n",
    "    y.append(np.random.randn() + y[-1]*0.5)\n",
    "    \n",
    "y = np.asarray(y)\n",
    "plt.plot(np.cumsum(y))\n",
    "\n",
    "plt.ylabel('$y_t$')\n",
    "plt.xlabel('t', rotation=0);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that we made our $Y$ explicitly dependent on its own previous value. We used a coefficient to define how much the current value is correlated with the previous one - feel free to test with other values. We will understand much better the usefulness of these coefficients later. Let's plot $Y_t$ against $Y_{t-1}$ and see what we get. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DbSKiiNEW91nlygZd9srvailmin323+m+l90fiUTn4ysKt/KJgsJqJEREEaOWvTIPVoPOlQ26FXqUZv+95mbfy+6PK76V/5lrP2vKE/mJM9tERBGklr0KZ65sGDoLRmX232tu973MfkskgGuv8f/4ykyD2blT4NcvAbt3d/x7nz7A1MlsB0/hx2CbiCiigs6VNcoJDkMr9Kg1vfCK230vs9/unBZMQ51sTU1aVRkG3BRuDLaJiCLMLFfWz8WJZjnBhw7LPYff+dJhnv33ixe56nb3m9fHmVHJRiMPP+bvXRIitxhsExFFiGxgYxYMZ86Gl5epQU1ziyIdKFnVr77xern3snOnACAXIGW+b70xGwl69j/fvMpVl91vXi+ClUmDydbWBtRvFhg+rDA/U4o+BttERBEhG9hYBcOJBHSalgjD58skEwy99Ip13i8A/PTnwEknCsugzDiloGPMM+46iOHD9B9fTJUyvMxVt9pv1k2D7AfcMmkweuo3w/DzJwoaq5EQEYVcKiXw86fTUhUmZIJhs+6AVhUrZIKhxkbgknHm22ieXGxeVcKoskb2602dts/3CidRkK9KNbILMe1WDCnUUoxU3BhsE0UYS2EVvto6gW9dKfDTn5tvpwU2TmcGjZ4vm2ww1L+/IpVO0tAArFylfwzbTSlwEty5FcbvoJpzraCysvPfJ5PAvDnuc9VTKYGVq8wvgICOhZh2OC3FOGSws8cR5QPTSIgiKsiGIZQfdhaKaYGNVzODRhUr7OUEK9BSPcwsWgLopbHYuXAQwv8KJ9nC/B30K1ddpkpIJrvHo0waTLbSBDBkMH/zKLw4s00UQUE3DCH/OVkopgVVXtELlLRgyIyWE+xkLJnHsJMLh42b8jO7HIXvoJpzreC8MeqfXgTaVik92eweAzJpMNmm56EUIZEbDLaJIsavXEkKFyfpINrspVUwbOf5stnJCXYzlicXi6NVR+x4eikwfqK/wW4xfgedXPw5bRpklAYTy4pYkpXepMUQ+Y1pJEQRE4aGIeQfLe96nc1gUQtsZJqS2Hk+PbJ1mN2MpaFB/dNuSgHgrhqGjGL8Djq5+HOzEFMvDeb0AQLb3lWKooSjGT/r55M/GGwTRYwXTSsoXLST59sb9+PllwVaWu0/R2ZgYxQMK4qa22z3+fTI5gQbjUVGc4u7Cwc3LeHNAppi/A7aeS9eNQ3KLT1YPCUcjYR5nQAZi1ywvWvXLvzud79DXV0dPvroIzQ1NaG0tBRDhw7Fd7/7XQwaNCjoIRL5yqumFRQOnU+eB2w/PlkJ3FqTG9hkB8N79ogjCxHNlZUBd9wmFyjJ1q92OpbeFcDQIc6Ddaezy1YBTTF+B2XfS80kYPzlzKH2gx91zSk/IhdsL126FD/5yU/w7//+7zjnnHPQu3dv7NixA2vXrsXatWvx+OOP48ILLwx6mES+8bJpBQXLblvqbDdeD1x7jXFgkxkMr3kNkKkMUjOp44Tt5e3qzLGkUsCy5ebBc+YxnB2sl5cJbKwHlj5r/bp2Z5dlApqRI4rrO5hKCaTTAokSoG2v8XbJJANtv8iuE2Db+nCKXLA9cOBAPPfccxg+fHinv3/nnXfwne98B/fffz/Gjh2Lrl27BjRCIn/J5MF60bSC/OVkwZnGyW162ZnJyj7qc/p5u9rJMdx5Fl1BLCaw9Fnr/WdndlkqoFkk0LMnMLoaWL7SeLtC+Q7aKfVXKO85jIpxnUAhiVw1kvPPPz8n0AaA4cOH42tf+xpaWlrw4YcfBjAyovzxu2kF+c/JgrPLLwMWLlCw4nn7n7Gdkn35KGvn9hi2835kSQU0jcCU2zsC7ZwKGQX0HZQt9af3nsPY7CfKinGdQCGJ3My2mS5dunT6k6iQ+dW0gvLDyUlxVJVaL9kJ2dlkAHm7XS1zDBulsvhxh8fJZ5JOq39OGA+MHKEUzHdQZpY/kQDm3Kc2lMl8z1zE571iXCdQSAomKv3kk0/wxhtvoLKyEl/60pcMtystLUUseyqiCJSXlwc9hMgKat+lUgIbN32OxqY0KvvEMGxoF92T+JhzAxicBDf7Tfa9R9kJxx8G0Ca1raIAfZMxjKouc7UfLv0m0LPnQTz0SDt27Uof/fsv9I3hruk9cN7Ybnjr7cNobDQfV0MD8NE/SnDmGcc4Hksmo2N4zdrcsfbtG8PdR8Yq837ssPOZZFIUoO5PMdx7j7vPJyh631WZ46CtDSgtTaBPn47jYM3ag7j3vn05VW+amoB77xNY8FhP259LWOXz3DCqWqBv3xY0NKR1Kwp59RuRL8UWkxREsH348GFMnz4dhw4dwrRp0xCPxw23bW11UFMr4srLy9Hc3Bz0MCIpqH1nPDMUjdvTbvZb1N+7rJNOFNI1pIUAaiYJtLW1uH7d4cOA5b8U2LI1s16xQDzejubmdmzfIXe7f/uOvTj1FP8+D6OFirt2pTHl9n2YN2c/qquUo+/no38ksH3H3pz3Y4edzySTEMCnu9JYV9vs+M6DU24XsRp9V50cB6mUwLz5QjcY1P7uwYf3Ycjg/ZEICM0EcW6YPElgxiz9f/PyN8JvhRaTyFw4RH6KN51O45577sHbb7+NCRMm4NJLLw16SESuRKENtF+Ceu9B5JfKtqX2IwfYrI13GG5X2+3QGI8rOPOMY1y3JXfSKjxTvvNla+sExk8UmDxV4P656p9edc90chzYWcRH9nGtTnRFemZbCIF7770XL730Ei655BLcf//9QQ+JyJViLu8k894f/YHA2WcJdO3q3TxBkPmlRg1fysqA88cGkwMchtKSQVZecNOEx8kFiNOZab9rLjs5DriIz39cqxNNkQ220+k0ZsyYgVWrVmHcuHGYP39+UeZiU2Ep5vJOMu+9pQW47Apg+u3Ck0A4DE0iMk+eBw72xLHd9gd68gxDacmgg7bMz6SxSWDPHuCZZ4G9FjWm7V6AOL3Qy8dFuZPjIAx3RYqBbDMpCo9IRqeZgfaFF16IRx55xDRPmygqgg4ygiT7nlpbvUkpsZuq4CctreOi/+zmKg3Cimy6TNC3q8MQtMXjCvbuBZ76MbDkR+aBNmD/AsRNylS+0jXsHgd+lGMkKgSRm9nODLS/8Y1v4NFHH2WgTQUjDEFGUOy+J7czd8V2F8HuLGqQt6vDkMoi293TSYMhtzPT+bwot3McBH1XxMuOp0ReilywvWTJEqxatQo9evTACSecgB/96Ec524wdOxb/8R//EcDoiNwJQ5DhJ7OTocx7z+Q2EC6muwhO02WCul0dhqDNaY1pGW4v9PJ9UW7nODDKeXdyUWIHa3tTmEUu2P74448BAO3t7Xjqqad0t+nXrx+DbYqkoIMMP1mdDGXeezY3gbBsIFJeJgBEb39rorro1o+gTXbmUyYYbmsDYjFn30W3F3phvyjP912RMKy9CBJn9MMvcsH2/PnzMX/+/KCHQeSboGaG/CR7MtTe+6OPC7RIlMR3M3MnO5M+bz4wpcabBZlBiHK6jJdBm9HF3iXjBPr3Vzo9t993PdzOTMfjCiZPEpg52/ixQV+U5+uuSFQvJr3CGf1oiFywTVQMCqm8k92TYXWVgrPPErjsCnUxpBG3M3eyM+lRnx1bv0HuTkFY02W8CNrMLvZ++nMAUP9NC1L8TtNwOzNdWyewcInx46J6Ue5ElC8m3Sr2Gf0oiWQ1EqJiYNZ4JEqcVE7o2jWG6bebv18vZu60agt9+lhvm6/KJF5KpQT+sEZu20JcdAvIXexptCCltVX4WlVDpnmO0fFtVMVEU3Nz5wAriIZN+VRMay8yhamaElljsE1EvnJ6MsxX+bnqKgX33m29nZ1SamEJcLZsNb87oCkr8ya/18n79nNfpVICK1fZb06z6IfA5Enm27i92DM7vufOBkpKkLNPZAKsRT/E0e397DDphpefebFWcGK3zmhhGgkR+crNyTBf6TTNLQq0VAIzMhcOQeZQZi+UamySC2LOH+t+nzp5337uK73nltXQAJSW+r92Qu/4bm1VU0QaGzs+O22flJTIB1h794YzxcDrzzzsi0X9Uqwz+lHFYJuIfOX2ZJiPhVZezY4FmUOpF8T06CH32JEj3Ae2dt+3zGNGjgDqNwvUb1b/bchguVJ7sjWyzezeA5w3xv+Lvczju7ZOf9Gjtk8mjJd7zsYmgad+bL6Ntk4in/z4fhRyBSczQczos+qJcwy2iYpIED+WUTgZejE7FmRVBKMgpr3d+rGJBJBOC6RSzsaVSgksWGjvfcvsq4cfE3j4MbXEnubppUAiIXDnNOOgzE6OthktSPH7Yk/7TjY2CSxcbL7tq2vlnrOlRX4GfMy5cs/plp/fj0Ks4GQl3zP6rHriDoNtoiIR5I9l2E+GXlwQBFUVwW1w2dYGTLkdqKwUlseC3sXaM88KNDWZv0b2+5atY23092azoDLPbSUWA04f4H99dbupLi0tQFkpTMtiJpNqDr6MfKYY+P39KKQKTjLyOYnBqifuMdgmKgJh+LEM+8nQ7QWBbOCy7sjiNK/euxfBJaB/LGQG1zt3Crz4MjoF1omEcVCcLXP/eBHkPbFIfxbUi+dOp4Ft7/o7o+001eX884DlK43//dZbFJSUADJrENymGNi5U5aPHOOgOp4GJR+TGMVex9wrDLaJClyYfizDfjJ0c0EgG7isWg2sWi08u6vg9eykdiys35B7Es8mG2gDnfePF3mkjY36s6Be5aj6Oevr5m7EyBEKBg00D7BSKeF7ioHdO2VRrxqSfWExqjocJfX8nsQo5jrmXmKwTVTg+GNpj9MLAtmOlBqzuwp2Zgy9Dk4aGtTUELXZizeyAzu7+8qIXkA8aKBatWPvXnfP7WfQ5/RuRGVlx7FgFmD5nWLg5E5ZlKuG6F1Y9O3bgsmTwtFZ1s9JDFY98QbrbBMVOP5Y5odMoxI92Y0n7NZG1oIYL5mlKTiRHdg53VfZ9ALieFyRrtphxO+gz+l37ZJxnQNqs6ZXftWpd9pMxU0jnyAZNRFqaEhjxqzga5b7Lep3JMKCwTZRgeOPZf4YBThmMhtPrFl7UPfErs0Y6p3YvQpcM7mdFc504/U4mtqQ2chk5Ajo7qvKSjUX3Io2y6vn2msUqecw4nfQ5/S71r+//SodK5cpWLhAwX0z1T9XPO8ul9dNM5V8Naqyw6zBjtmFhTjy14XepVHmYj6sdyTChGkkRAUuyrdvoygzh3JdncCq1daP2b1HPbE/9Ih5rT6j3PrqKgXnnC3wxp+tX0tROgIFvyUr1cDXOL9Xwa+eA1a/CHz8CdDvOOCybwJ/flOxXDw4pcY4II7HFdxxm37N6kyxmLoY8uh481Qdx2kajZMg3esUA7d3ysK0UNoq75wpeNEo3RoFDLaJChx/LPMvM8BZtVquKsSWrcCuXWnT7YxO7KmUwHvvyY3tO9cCP39ablu3bq1RsH6D/rGnzdZnVzRZtlwNdubNUfDwYyJnEWYiAdw5TT8gzsx13yMRFKbTQM0koKJCyWvQJ/OdzBaWC2Iv7pSFYaG0TN75ocNyz1XoKXhhL90aBQy2iYpAVH8sw9yxTGZsgwZal8dLJNTt1v5RLvBSW7B3fp0tW81rL2vKyoDvXKvglJOBRx8XUo9xI51WW4+byd43HcGOgpdXK9IdJNesPYh58+23Z6+oUPOejfh1DBp9J42E5YK4EO6Uyead33On3PMVQwpemO5IRBGDbaKIshsERO3HMswdy7wcm7a1zEwsoDY2ySY7s3b+WK2ShcAHHwJLn5N7nJHsNIxsjz+hP14Zj/5A4OyzgOHDYhg+zHzb2jqBe+/b5yg9xixQ0vucS0qACeMFrr3GffCb/Z3Uq2UetgviQrhTJpseAkT/wsJLYbgjEVUMtokiyGmwF5UfS6tbvHNnC4weFcz6bjtlz7Zsta5F3dqmltqTrQCi1x1QdmZt5Aj9/GlZyUrg4nHqQr09ewQWWcxaOw20tcdedgUw/Xbz8mraLKWTQNssUDL6nPfuBX76c2DFC+Zt42V1/k4quPaa8N7N0UT1TplG9uK0ucX4wkJb+xD2CwsKBwbbRBEThm6QfpK5xXvfHABI5z3gttsgSPakbqemdWWf3M9W9tZ+a6v1okEjZWXAsueArl3Vfb7mNUCmS/3+zoQAACAASURBVKEbra3Wx7SbDppGgZLM52zVNt6pqFwQV1cpOPsskbO4tWvX8P/22Mk7HzpE/8KibzKGmpDU2abwY7BNFCFh6gbpF5ngKZ0GZs4G5s2xPtl5mXNrtzqB17mcRjOxMrf2a26GZf60mZaWzi3MZd9bWalcPrkZs2PayeI0qxlYOwF8GL5vQaxtUO+QdN5P6uLW8AegdvPO9VLwRlWXoa3Nxa0bKioMtokipBhKUdkJnqwCHa/zvtdvkJvJ1d6DV50SNWa3rK1u7ZeUAI2N7maiMz8b2YCl5mY4nk3XmB3TskG/naojsp+z1djyIYi1DVG/u+Yk7zz7jkNUJzMoGGxqQxQhxdAN0s5ssFHzDMC485tZgxgztXXyedXae4jHFUyeZOtldCUSck0/zJqYeHFMZH42sh0Bq76u4Mbr1YWFbmSPX2tG0tgkUFaq5tAaSSaB8Zcbd1vMZOdzNhpbvnh9jGucNnrRRKHRSxgb7FDh4sw2UYQUQzdIu7PBeoGO1+k2Ms+nybz9XFtnXfpOxpz7gOHD5E7+Rjm/bo+JREIt5ZdKdewzq9l0ABg/0dlizGyZ47e7yFN2EZudz9lobPniV0pZmBu9eJ0uE7UKTRRdDLaJIqQQatxasdvwQy/Q8TogsJPDqwV2Rrfa7Uom1drSbrlNaWlrA6bcDlRWik4pCkYBi1EzGyeyL2BknzdZqTbWkZ2ldLLYsrJSvQhZ81p+gzU/gt4wN3rxK10mKgtSKdqYRkIUIbK37qM+M1NdpWDubLWOsxmjCwuv021kt5swXh270xlSPV59njLHDqDOYJvRS1FQAxY1TWPQQKB+s8D8R71LI9D2gd39mrbYNDtdQm0YZM/Bg+pFyP1zBSZPFRg/0Xn6hh1eH7uyM+XlZc4vgp3yK12GKF8YbBNFTLHkGo4eFcP9s8y3MQpEvU63sVPHGnA2Q5qd0+zH5zlyhHUwfWw34AePAgmLHGu9vNzaOjXYnHK7Wo/ajtJE7tiy94Hd/drUZByMaWOdPFUcDZQXLpZ/bm2sRh0w/Q4AvT52ZWfK02nri+BYDDh9gDfvv1ByxKm4MY2EKIKKJddw9KgY5s3JvX1sVbrN63Qbu8/n5Bb63NlAaWkC23fs9e3zlGmy09AI/GM70GYRLGenKDhJm7nu28AJJ3RUCNHGaHRMO01NULtRiqM1wo3G2ipRojCRAGbPBB56xHw7J/nSdnKSvT7GZfftlq3mXUMB9d8zy0S6UQwVmKjwMdgmiqhCzjXMDjp+9Zx68pa9sPC6pbTd57N7C700oeZl9+lzDE49xb8LJtmA6uNP5LZbv0Fg6BDnaTPDhqrpJ5nMjmmnqQktLcDlVwB33K4GwG5SfMZdCHTpoliWUXSSL20nJ9nrY9zrRZ5e5WwXQwUmKnxMIyEqUGblu8JM7/b+lVeraQkypds0btNtsvffyBHq4/r06bxdZWXu82mzjrJa29QFhX6TDaj6HSe33fKV6uflJG3GyUJeu/s1U8uRbpTPPOuuOsovl8nX4ZbdzmlOspcpZTL7tqxM/jPzKngvhgpMVPg4s01UgIJodOEFr5tlOE23Mdp/540xr+essVtRBVDTDi4e5+8FkUzqQVkZcMk4tRugTFD66A8ERo+yPxazVulGn1c8ruC8MQK/XGb/9TQrXnD+WM2ra+W2W74SGDTQvKOi2xJ+XqWUyRyzLS1q+kwiYZ6O5GVFpGKowESFLz579uzZQQ8inw4cOBD0EPKue/fuRfm+vRDFfacFrO3tnf++vR344+vAyScBJxzvb8DtZL+lUgK3Tc8dd6Zt7wLjLwdiMfnxx2IK/u3fFJx8kvqn1WPN9t9ftkF6v55wvIKTT9J/jJ79+4EzzzgGvSsOyb4122IxBf/2BXW8Rg4cAH7/qnph8Zdt1s954ADwwQfyY0gmgbvuABIJBdveU/Okk0l1bLV16jHwwiqgtg743R+AVauBQ4cFBn4VEAKY/6jc/jRy8KDzx2oOHFDb0B+QeK6/bANOOVng3fc7v1fN5i3AC6vMn2P/fmDoEPX41WP3GM+U+V2VOWbb26334T13KjjxRG9+Y2SOWS9fT1YUzw1hUWj7rnv37pbbKEKIaNxb9khzc3PQQ8i78vLyonzfXojavkulhGUTkWQSWPG8v+UBney3TfVqyoiVhQty83y9IrP/jBjt11RK4Ge/EHh6qfVzjBzRBRPGp3xf7CrbFOacs4E3/uzNa/boAXzrMqBLF+CV30L3roHZjHUiAVzxLeCnP3c/lpIS+9VSsk0YD9udJgHtDlNHisea19R0KSv3zVRLK3pN77t66FAal1+hpt4YKU0Ax3RVK75orBYuu6F3zPr5elaidm4Ik0Lbd+Xl5ZbbMI2EqIBEeeW+7AKnt98R0rfL7Xacc5J7rDHar/G4gmFDgaeXWgdU6zd8jvUb1IBs8iSB0lL5RaF2VFcpOPssgcuuMK/A8d77nrwcAHVGdOlz+v/W2GgeaANq2oIXgTagBspun0st82i/tXt2SpTTnGSvuylm2vaugpZW8+O1tQ144nF15tmPMWS/v5Ej1H1e6BWYqDAx2CYqIFFeuS8bdKgBmxoImOWhO8lbd7tfjB5vt3tjYyMwczagvU/A+5z7be8qaLUIqFparPNzoyYWA67+f8Bnn1kH+Ea0HOF02tnsNtCRh+0kJ9nvNRmy34PmFn9m243fX+H0EaDiwmokRCHlpJpIlFfunz5ASC0+zGRUrcFpdQe3+8Xo8bLdG8143SxFNqA6LNmeO9ullwClpc4e66d0Gtj6F2DNa86fw4uuntqdELtdYf3qppj5e7NnT/67RGrYLZIKEWe2iULI6cxVlFfub3tXgdMlJJnVGtxUd7A7A53Jar9WVymYMN5+2kE2J81S9MgGSp995uz5lZhck5gg1G929hknEsCd0zpmV5tb1FQSp7QLHrWEHyxzkt1WLjGi93sTi5k3r/Hjd8TN+/MzrYbIrcgF2y+++CI2btyIbdu24a9//SsOHz6Mhx56CJdffnnQQyPyhJvyd143usgnNykcmfnSbvLWnZTs08js15EjFCxf6W5mrqEBWLlKoKLCXVDh5sJChl/PGwRtcea113T+jL28EyJTws+PNRlr1h7UPd6tukT68Tvi9P05nZxggE75Erlg+8knn8THH3+M8vJyJJNJfPzxx0EPicgzXsxcyc6ShY3bwEUL1mWD9sYmAUC/brHe/jNz1cTck7reidyrAHfREkAmb92MmwsLGflo0uOEnRnZ676tdrk0CsLcfJ49eqjH4Kb6jiDPqius12syUimBhx6xV0cxFgMmTvCnXr+T9+d0ciKqvQgomiIXbD/wwAM4/vjj0a9fP/z4xz/G448/HvSQiDxjZ2Zn0EDjWRmvGl3k06CBQJ8+nUuJ2aEF67JB+6LFwLHd9BuOZO6/xiaBxxeY13b+zW+Bm/5LdMqrNVrgNaVG8TTAddrwBzC+sCi0RZGZTjkZmPOA9XbJJHDDdzpmb7Mvnk4fILDtXQWjq50tkmxvB+bOAwAhHeR5vSZjy1Zg1y6LKews6bS6sHTAV8yb9Thh9/05nZzwunkWkZXIBdvnnHNO0EMg8o3szM76DQJzH8ytVZx5wraaJbOS71us8biCqZOdzbRmzlbKzjZq7buNTqza/ntno3mjHUAtg1a/WWD4MEXiRK622F6wUDi+sNDjNJdb78IsnRaYcrt3YwsDLQdZtm549qJE/Zxmby6aZIM8r9dkuEnd8mrtQCa77092cuJnvxAYNrTjcX7kvROZYTUSohCRndlZvjL3JOPlav3aOrW5y+SpasONyVPV/+93JQB1plVBImHvcZmBkd3KH08uNq/0Ur9Z7nnqN9ubabv3bukhStHueGSTqWqjXlioZdyGDlEwZLCCykpvx2dXSYm3z2eVg6yprATmzelItzKqjiH7fHZYHYsAcMk48+ewk0vtJnXL6Hhzw25lFtmLhaeX4uhv2DPPWqeH+fHeqLhFbmbbrdLSUsRixXeNIdPhiPTlc9+Nqhbo27cFDQ1pGBXmMKsSoCjAoiUKLh5X5nhWZs3ag7j3vn05r9/UBNx7n8CCx3rivLHdTJ8jlRL4//7WC41NaVT2iWHY0C7S4+nZ8yCOPXY/2tqsA/tYDHjs4Z644PxjO/39pd9Un+f+B/ajudn8eRoagI/+UYIzzzim0/g3bvocjU1p7NlzCIB1C/Vjjz0WH/2jKxobzfMvtNc7dDgNYJ/l89px4GBPlJd3fDZr1h7EQ4+0d0oV6Ns3hrun97D8DO+efhC33eHt+Oy49pru+OFTaimUfPY5nj+vBGd9rSsA9ThYuKQFbiqO2KF3LGo6Pkv9sXyhbwx3SXyumWR+b8y8+96xGFXd3dMZYO27m33c6r2/E44/DEA+36mpSb6ZUfZ3SQ/Pq84V274rumC7Nay1qHxUaK1R8ymIfTd5ksCMWcb/bjajJgTw6a401tU2O2ppnkoJzJsvdE+82t89+PA+DBm83/AEW1snsHCJ0ulEKduQwigFw0g6DXTp0o7m5tz6dMOHAbfcLI7kxZrbvmMvTjpRnc1av0HgD2vsl61rbz+AdbUHpLbdvmOvLzWKj+22H83Nas6L0b7ctSuNKbfvw7w5+00/jy5dgqtnnEgAE8YfwHH/puDRx4Vp23Cv/fP/9uG0L6n7ZVO9MAxu/bJ9x16cekrnz8Xqe3Hj9cC11wjE4+1HP39Zd0/vgSm3O7uo+p+ffIZVv/7M82Yzw4cBy38psGVrZnfK3Pd30onC1gJVOxcUmd8lPTyvOldo+07mwqH4pniJQk5Lpci+jZ9Mqm2mZTjNxbSzQFOPFhRkL7qSSXGRScHQY/ZeK/vIBQA7d3akzSxf6aw+9NLn1NvVMrQceC9TNTJzWWXTWbJTFjJTTjZusv9Z9Oxh+yG6rviWmlJQXaWg5hZvnlNW5kVQEJ1Wy8s6p/0cOpS2/Cxf/o3z1ztvbDfd3xvZG8B+NZvJTm3Su7j3olmUnrD2IqDoKrqZbaIoMKomsmUrpOo0O501dVNaTCbAe/QHAmefJdC1a+6ZXCbQ12P2XmUWXJUm5G8te0E7kXtdei8zl1X2oql+s0Aspn6eO3cKvPiy82owALDf3qSqrtKE2k59U73A7j1qy/h8yQ6ynH6PShPqolknj3vgIaCpqeOYKC21vvgzqq0tu8hZ7/emtVVg5mz5sTtdVOh2IbaTUp1WwtqLgKKLwTZRSOlVExk00Pq2qZtZGTelxWQCvJYW4LIrgOm355YNczKLaPVeZQLafCdLZJ7Iq6sU3D9L4L45zp+vrAy447bOt/HXb5B7V7NmA217w9X++qILgSuvBhobO8Zl1c3QK9lBlpM62skksOxZtSPq7j3AP/8p8PRSufHrBeiyd1myvz9260jn/t4omDcn9zmM2G2m42SMRjIvFjZuElJ3mG68Hnjplc6fbdh7EVB0MY2EKELsrta3a9BAWFYCKU3kBrjqgkK5oK31SMm919elO90uLy/zp2ujWVrOjdfbryd93bfV/+xKJjtXudCUl7s7sddM6hyYpFICf3hV7rFte129tKmyMmDG3UBZqdz2lZVqc6BfLssNbv0OtMvK9D8bJ2kKt96ioGvX2NEUiBuvj+F+kzUYgPqds1uBJ1vmBbBRBRW7KR/VVQpWLlOkj3c7F8xejVGjpZ3c8B3rSjrJpNoNdOUyBQsXKLhvpvrniucZaJM/OLNNFDHabdOHHxM5gaLbE7YMgc63fnfuFDkzRDLum9O5TnFlpX/NVIzScv64DrA7tz1sqHIkqLB+3HXfBk44QTG9Pe42Lzg7L71+s3CUwmBHWZl1ekdLC9A3qeCO2yVTZQTwym+9GZ9d2RcsmYzSFLJn281mRUePiunOEmtt4L96OlzVNXeSry+b8hGPKxg2FHh6qXfpa16PMZPM3azMi3Q3vQiIZEUu2F6xYgU2btwIAPjrX/969O/eeustAMDYsWMxduzYwMZH5CWzfEa9oLStzV0HtC1brYPdtjY1FaS11V36QfZspZN8S7Mc8Gx6aTm9K+y9h7IytaPkkZ8gS8OGKqZVYVIpgT17nO/HsrLOdxleX5fGQw87fjopN14PHHccpKq87N4DnDdGLqe20cMGP3ZZLaTVu1jTOkhmfjeBjlxzO11d17wm4CahyUm+vp2UD6+b6fgxxkxGF0hME6GgRC7Y3rhxI1avXt3p7zZt2oRNmzYBAPr168dgmwqCUT7j5EkCC5eYP9bprJDsLKufFTRLE8AxXeUW6pnlgMuwm5Pb0iIXZALq8+oFH9oF1PoNAq+ugauydoMHqbPzvSsE3vizwLLlzp9L1su/Ae65U25bbaZTCzTrN4sjeeK+Da+TsjIg9Tmw16SynWyQqJfTnPn/ZfKPs59Dq/6yfbtcoF1W2vl40Qse3SxyNmJ3ttir13Zz18fs4oYo3yIXbM+fPx/z588PehhEnstOzdCrkNHYCKkKAdktivPRUc4rrW3AeWOBXZ8CW7dJbG/Rdt1MPK5g8iR7VRdkDTw9d7/rBWRurKsF1tXmd4GjNuNotWgxFtPufnQEmrFYfhdk3nGb+tpmQeLFF3VcsDgNxozqYJu1Ybd7LCSTwHNPq4v6Pv4E6HcccNk3ga5dOz+vm0XOZrycLfZjjEZ3AZkmQmGgCJHP3lzBK6RC6rIKrYB8PuVr33kdhGWSbSgDqCes8RP9GYffkklgxfPGs2tGJ+NN9Wp9bT9kLrp7fV3al6A+7DL3wZrXBO6f6/8pJzsA1Pt+lSbUxI3MtCk73xWNzHcm+9i027wJUBePrnkNOjPnSs4CWTvjsfsb57ZUn5MxWjG+q+BfygjPq84V2r7zpanNihUrcNppp2H27NmG29x000047bTT8MYbb9h9eqKiY7Qq3yt2Vvev3wAcPOjPOPxm1WxHa1pz/1z1z/ET1X3iZ+MSrXHM6+vSrsr7RVlm85x83DkpLVVL72UGWVpVDa3yxI3Xq3dQstcnOKmEYbcRlN3mTSUlxlVa9Mbrd8WieFzBoIHqZ7l7j/q+spsjyTyHV2P0uqoJkR9sB9tDhqj3ZLZu1T+r1dbWYt26dRg7dizOOeccd6MjciizE96m+txOeWHhtGuiE3odAzNpJy2jBZI9e3ozDtnOdE7oBc5WJ+OdO/3b/w0NwDPPqmkq+agTHUaZgabXXTP1tLYCzz2f+/daabhzR6mpGGasviuZ7OYf12+2d2G9dy+w+kXzbbLHa1buUq/EoR1mF652OBlj9u+6THdNO58lkV9s52yffPLJKC0txYcffoiDBw+iW7duR//t0KFDePDBB9G1a1fcddddng6USJZXjRLywWnXRCf0Vvdrt4QbmwQWLjZ/fI/uQPfu7joM3ng9cMLxcnnnTmz9i8Bftomj+azxuGLd6voVoE8fd+/LzIqV3j3XgK8A777n3fPlixZoet0108hPfw6cdKIw7MLqZSUMO/nHtXUC8x+V2z7TZ5+Z/7veeP1YIOgkN92MnTHqpgK56K5JlE+2g21FUTBo0CDU1dXh3XffxdChQ4/+2y9+8Qts374d3//+9/HFL37R04ESybB7MvAi/9ANpykMySRQczOwcIm9YH3dkdmnQQPVlBE7eeKNTWqw7Ka1+cu/UfMwvW6vrFn9647/veRHwOhq69doaHT/vsx4WXnDi0BbUQCZlTrZgUwyCXx1APDa6/Zfc/t2gU316nFntNDOaYtzI488JrBgYeeLqMpKYHS13OPNvpuZvxv//Kf1zkwm7bc/t0tvvF4uEPSrNrbMGI1+15121yTKN0fVSAYPHoy6ujps3br1aLC9a9cu/OhHP0Lfvn1x0003eTpIIhl2TwZhmAF3msKgLf6q+rqw1aJ41Wpg1WrhuHlM//4GgVIpcM5ZwO/+YP54bZbJSXtlu9Jp+cDQ6H0lk8DYc9V8WSf8aNIjGywbmT0TWPwj65rJmS3Hy8sE0mngnpnOXvPppWpTlMzvl96M5v/8RFjua9l9qhe4NzYCyyXvNKgdTeVmWK3c/H1Ylut0y+98eNk7AitXCVRUeDd54UWqXRiqLFFxc5Q9qQXYmXnbjz76KNrb23HHHXegR48enbb/xS9+gXPPPdfFMIms2bk9HIZFNamUsMwdzZadz2inRXEmpwFg7wo1UJo8qXMb7tZWYL3keujMlAJt7H36WD8uWQnMnQ2pbe3S3tevnlO7CV5+mfrnsmeBm78f088trQTGjDZ/3iu+5f1YnQba2rEz5tyY1OI0reV412OAefOB2+4ADhxw9tqazO+X9vmfN6aj8c+a18wfn0gAd9zmbgyAesFi5YGHkPM78Pq6tKPFzLt3+5suZqehjFOys8OLlsBVLnc2t6l2+dg3RFYczWwPHDgQ8XgcW7ZsAaA2mnn55ZcxdOhQXHzxxTnbb9myBYMHD3Y3UiILsieDxiaBp35svo02A+4n2ZPIhd8AzjjDvOV3PnJhtZNWbZ3+7fC9kukS2bNM8biCqZOtx35rjYJ0WuDzw3KvIyvzfT2xqPNnsmw5MKVGPRZ69gTqN6sz5o1NwIY3jGfOy8qA88eqbbj9yAefMB54vRY5s/A1NwOlpR2z0QDQ3JJ77MjWTHZSok6GXrqBzPehrU19fzder1+HXpbMBUtTU+fUMzcVZT7+xNnjZLmpLiLLyeyw01zuTG5TQPKxb4isOAq2e/bsiS996Ut4//330dTUhAceeACxWAz33ntvp+2EEBg2bBj2798PAPjNb34DAHjzzTel6hIS2SF7MmhpkZ8BH+PjDRnZk8gZZ6izf1aqqxTMnS3w+AJ3XQmN3HqLOgY3t3STlUA6LbDmtc63mbXg7+HHcquhlCaA6dMUvPuedYqBE7feomD9Bv1gXwsW7KSD9OihHmPLV6r/JRLyY5FNETnnbGDSfysW6w3Mj5nMCwgAGDIYGDK4IzBxevv+vLHAmrXm2+gtWrNT1ePaaxS89Iq7nP/u3dX3b3Uh9ORigXTaXb51v+OcP1ajKEDv3p3Hm8/243a7rWZy2tEWkP9dl+muSRQUxx0kBw8ejPfffx8zZ87Ee++9hwkTJmDAgAE52/3617/G+eefjx/84Ac444wzoCgKA23yhczJIJlUZx1l+L2oxusuarV1aht3rwPtzJPWpnp3Ac6Bg8CU2wG1nUjnHPnMlt7ZAWDdn7wPtGMxYOIENegcP9E8qLSTdtPerv/YHj1y/y2bnRQRN4vf9PKOf/t77bNQ/7/T2/df6Cu3Xfb3y873wYs7OZ99BtzwHXUhrZmGBuCxBY5fBomEWhln2XJ36RBCAPfeDcRiSiALut3sczcVQWR/1zPXGLA1O4WN44q3Wr3tP/7xj0gkEpg6dWrONoqioLGxEUIInHXWWaisrEQfPxIuiSDfKKGyTzhal8vUHJbNN/S6MU5pKTBzBrBwgYIVz3fMDslegJSWdt7HpUdmd62aiMTjCoYPi+G/blT/Gz5M/YlyE+wYSafVhY/PPJufjple9uptbnFfvs1qvYLTi82GBrnt9uzpXAdf6vtQ2fF9qK5ScNVEZ2PU/OtTue1kq17oueJbQNeu1nnyMurWq3+eOwoYOiT/6RHptJDKd9fj9HiS/V3X1hhoawAYaFOYOA62M0v+3XLLLaio0I9M3nvvPfTr18/w34m8JNMowcsg1w2vuqj50RhHCODYbrknLdkLkB882utot74nHgeO6Wq+vVnjiS1b3QU7Vla84N9zZ7KqlWyHlo9tl8yx8vBj6mfh9GLzD2ust4nFchfSrd8Ay+/DgYNqycpUSuCdjWm8/BtnY9R4+ZnoKU2oKS9Ax8WBm6ZOq1YDk6cKfPNytStpPmlrNZxeNLqZvPCzSQ9RPjhOI2k/cj/05JNPxtVXX2243bvvvqubXkLkF6tGCTK3Q82CXC9rc8suVDPjZrV+9+76AUdbm/7CJtlbumcMPwZtberjNtUDTU3mZ2itZNj4y3P3pd/pPF6X5suHmbOBu+4QhseH0TEquwjxmWcFrv5/amDoR+fL7OfsWEinYO5s4IEHgYOH9MdmN4fezDsbrRewyqT/GJk+reN3pLbOu1Sollb1GLhqYho3f99+9J55fJxw/GGcdKIw/Q1ze0HvxeSFH016iPLFcbD96KNqG6wZM2agSxfjp3n//fdxwQUXOH0ZIkes8lmdBrle1ObODoRGjgBGjrBa7GbMSTCa2RTHbHYve2GTkwsVOyXDli0XOftSeoFUGXDmcOBVi8V5hWDvXuMqD2bH6CHJSi4rXlArqXgdaFstAH34MfUf9QLtTF5dIDVKNDRqb7df2zz7d0QmWO3ZA9hvM6j/5TLgP76cxuhR8gF37vHRZvkb5rb8nlcVQbxs0kOUT46C7RUrVuBPf/oTLrroIowYYV4fLZVKYceOHfj000/RtWtXppNQaNidKfGiVbFxIOT8VqhsMFozCaio6CgDp55ArWec9dpA27lQsXP7WG9fylZBuH2Kmiv+6lr/a6SHxZOLOl8MWR2jN14v97xtbR1VSrxkFbAGcZfhuOOsG+VYjfv+WUB5ufHiPJlgdX+7Gvi/9Iq9wPbxJ4Cqr5vPTGuc/oa56XTLiiBENoLtv//97/jZz36Gf/3rX3jjjTfQr18/zJo1y/JxU6dOxUMPPYTRo0dj4MCB+NWvfuVqwERekp0p8aJVsRfBuh7Z1I7xl3eeXVq/QW7aUu9Ea+dCxUnJsMx9KTObPnGCGmg3NomcEmCFrKFR/QwGDRSo3yww/1Hz7V9+BSgpka+JXgxaWpwH+bGYGmhbzSzLBqv9+ytYuUz9TNfVCaxabf2Ylha5Sh9ufsPsXDDfeL36PpjmQdRBOth+8803sXLlSpSUlGD06NG4++67USZRQ23MmDEYM2aMq0ESBc1Od0q9k54XwboRJ6kdtXVCum210YlW9kLFScmw7LbPI0eoC6GyZ9N7mtEoMAAAIABJREFU9ADOOhNY+0c1BcUvPXsCR9oFhE7deoFZs+UuMBoa1SZJv/299baDBvqXsx0WdkqB6kmn1YuXTfXC9KLTbllD7Xu1arXcMS0TzLv5DZO5YJa98CAqRtLB9tVXX226EJKokNlpuKHHbbBuxU5qh53FTl5VZTEan5lFS4DMetyTJwEz7gJ+/RLw1ttqLm17O/DHdc7HNXGC2gXSMkVlKrBwUThnzFfarKYybBiw/g3z2dyyso5umYXs1lsUlJQA2nHmxKzZQNvejsfr5T/L3n3K/K4NGpjbqMWITDBv5zdMb4HtlBrF9ILZaaDt5YJzorByvECSqJi4bUDjNliXIZvaYWexk5etjrXxrVwljgTS8hob4aiDn9XCtj+uA0452Xp/PLkQmHab+RgmjFdnOd20Ec+Hyj4K7pxmfqehpQVY+lweB+WR7t2BrscArRkXEnrHQCIB3DlNvQhNpYTjzogA0JaVkqOXFubk7lM8ruD2qdadK2UviGV/w3buFBg/EbrrSvTuLrnJy/ZiwTlRFPB+D5EEt7W5ve4WaUS9BW3e2EE2oJ8w3vsTXjyuIFnprtawHVYL2xoagD+/af08rW3A9h0wrfU7+ZYYrr8uhnlzFCRKnI/ZT9oxalS3OMoUBbj3bgUvrVawcIGCCePVv9c7BjJn9WXq3TuRXTveSa3o0aNilo17ZGvxp9PiyCy+sURCvVg0angEACuXKUdr6Gc3vbJDtrkSUSHgzDaRBLe1uZ3cRvaLbEA/coT3AYjWGCOKVrwAvLzaukxjdZWCnj3Fkbb0/nCaQ555jI4coT6Pli7y0iv+Ng9yq0cP4O7partyvdnVe+7sheHD1Np5gwYKzH3Q/Pky10gYpTmVJjrPktthVMlH7+4TYJz3ffP3Y/iPL6fx2ILOn4/sjLLe7LFT6j5TL+Td8HMNC1EYMdgmkuSmAY3bYN1LQQX+fnS6zKe2Ni14sl4YOmSwgspK79vADx4IXPttoLkFmDtP/nHZx6iXAZjfevQAzjwDuPQSdb/G4x0Ba2OTQEuLmmNeWhpDKiWkm/dkB8NGgfD6DbnfedmmOnp3kTIXQKZSAs88K7BiZed0lOxUitGjYqj6uv3cZqMKSNmSSeDii6xToNysK8nk9xoWorBhsE1kg5suZl50i5RltugoqMDfbWOMMJBNwXFSgUXG5q3Ax48Al4yT275HD+DBuR1BKiAfgAWte3c1NaS9HVhXq/5XWdnR9GjvXoGnfpx5TLWhpASYMF7guOPkXiP789SrsFNdhZzvfDotd+dizx6BVEr/96G2TuDhx4Ru0K6lUsydLRxX95C5uE0kgAWPleCUk/cdWWhsfVx40dE1H2tYiMKEwTaRTW66mDm5jWyXzKIju9VLvKgWUAgnTjs59dVVCiaMly+xmM0oVaSxUZ2BlJldvXs6MHxYR7AWpbsLep1NtSD0qon6rc/37lX3TY8ecq9h9HnqHfOZqROpFKTuXBh1RZW94LlvDgCkdVNnvOj62NampuXE4wp6V8gdF70r3P8m5GsNC1FYMNgmyrPsYF0mOJY9udlpnCMzS+9ltYCdO6MR5BlxklozcoSC5Svtve/LLgW+0Bf4+dP2XivbVRNzS7EFfXchWQmkBdDU5O55li03//d2ibbnpQn9z1PmmLdz5yL7u2fngied1irg+Nf1sbEpjVNPkU8va201qlYi/5sQpjUsRPnAaiREAZJZkV9bJzB+osDkqQL3z1X/HD8xd7W+7KKjzAoJZtVLvKwWUFsnQl8Sz4psak0qJbCpXmDNa2oFCLsVP/7wKvCj/wEOHDDfrq1N7daX/fxlZcDc2erCumzrNwR7wVMzCZg62X16khf1v1vb1HzsTHaOebsVXbTvntcXPNnfaY3srHBlH/U4kanKMvZcNfh3+5sg81r5WsNClA+KEFbFsQpLc3Nz0EPIu/Ly8qJ8317wc9+lUmrQbHbitUoVyCwZtqleDcStLFxgXU1AZmzJJLDiefWEmD3zPqq6HG1tLdLPlf28NTer7de156tbL2w3b/GK3njM7iw4XUznxH0zFZw7Sm4NQSol8M3LRaCNeS44D7jgfGDbNuD55fqpIvmUfQzbOeY1qZSQrh2/cIF6DN0/19vTrt53Wvb9rP19xdHvKqB/DGvfgYVLrGejs/ePGaPX8noNix94XnWu0PZdeXm55TZMIyEKiGxOpZnM8ljyt40FAPMTmZ1qAXv35p4w+/ZtweRJAtVVcpUhNDWTgPGX65+sV77gz7xAdkvyZCVw8Tigf38FvSvU2+ZqkGHeJdAohcevQBsAPvpIoHeFIpUz+8yzwQbaAPCHNep/YZFZ8cJphYx4XEFFBSC7uHD9eu+PY6OqJ04WQhull6n7x3zsdiuIuFlwThQlDLaJAuLFgsHMk5vsbeOFi4FjuwnTmSPZsa3foL8AsKEhjRmzgHlzgC1b5YOLigr9QFsmx9Op+2cZz1ob1QV3k4frpaXPAUufE5Y5s4WQxpPJqjOoHRs3CQwa6K5Chux37//+KfDa6/Jjk2X0+k4rIOktAt+9R26H2/1dc7PgnCgqGGwTSfCqIkcmr1baayc32YC0tdV8YZWdsb1qMEupBUJPLhI4cFDuucxeV2aW7qqJwJrXOr//ZCVwa42Cd98TWLa88wx2LAZMnJC7iFBjp/FG0AsPzRbLRakCiazu3eUWQcp4einw4ksCgwfLba93jEot+KsEVq52NkYzVgsJvZo9ZgURIucYbBNZ0MsrLCsFzj9P7aZm58SVGbSXlwlPZmu1k5vd2s5mHdpkgoeyMqClxfjfAaDBxnurrLQOGqxm6W76r9yLovUboFsmLp1W/37AV/Rn+WXTCuo3CzS3hOO2t95nGvSFgB/a24Gvng78ZZs3z9fSqtbxtmIU2Mp89y4eZ900xgmZhYRezB6zggiRc6xGQmRizdqDutUJWlqB5SthWBlET3ZVkSm3W1ecsJJ9ctMqJJSVWj9WS0HRI1Mt4PyxNgYqYUqNftCQWd2jpAT41XPqgrD7ZipYuEDBiufVmbtN9eJIYw7g3FEddZHtVmjRyN4OnznbXVnDZFKtHtKnj+OnOCr7M02lBDZuKqxZbY1VoN21q/evaRbYGlUnSSbVhcz9+zu7ILvxepg+r1cLCTO/Z5vqc78TrCBC5BxntqnoyKaEpFICDz1ifa/aqt4tYLx4bu9enY1tMFrgdOCgkGrnbRZQWs0kl5TAdg1pIxd+Q3/fmdU8Pm+McetxbZuSEnuL3lIpgfrNAvWbgU8/lRu71kjFbtWR674NDBvacWckFvOms+O6Ixd+HQs7XT+lbb16Afv25f91Mx065N1zlZWpF5clJTjaEl6PWcrGpnpnn23//orvCwll6+nnswsuUSFhsE1FxU6Tli1bgV275Av6GqVleJEz26NH5xxVq5NbZR8FMtURrPIrzU7yqZQ3aTAAMGxY7t/JNOgB9G/da9tc8S25129sEqitg2H7bBl2w4wTTuhcrq26SsG3r+mGpc+6u92xajWwanX+Z7N79gBum6oee6cPEJhwlfvmNUEbVQ1s3qymSy1fqV5cOm3q5HSRb2aamB8LCbW7d9mMJhFYQYTIPgbbVDTsdFcE7K+qNyp75UXObHs7UFqq1imWyRO3m19pNttvdJK3myNupqUF+MOaNFpa1FnE3hXAD540f4zMBcxvfy/3+u9sBH73e3fvo/VIk5mVq9RFqFb27BFIpTouXLZsBXp0j27AEu8CjD1XvdNSWwccOhT99BW9PG6zO1lWF/N2vy9Oc6C9vHunN4nACiJE9kQ22N66dSsWLVqEzZs34/DhwzjllFNw3XXX4eKLLw56aBRCdipLaCcVJ6vq9QJ0L0r8AWoAt3yl3CySnRq7RgHC5EnCspGL0W1lO2IxSDUEySbzevv3yz3Xn9bbf309/fsrWL1C4PIrYFnTetEStfb1gK8IvPueFqAH3OXFhba2jrrrXlyAAbk10EsT6kVNGDy5WODsswS2vat+R3bu1C+vmB2cXzVR6C7Y1TP2XPszxl7fvbNbO5uIckUy2P7f//1f3HjjjTjmmGNw0UUXoaSkBK+++iqmTZuGjz/+GN///veDHiKFjJOGFYMGAn37xmylkugF6F6XwjKrIpJJJr/SbLZfrS9t3shFex3ttvLGTQJPL7X3frxove2WV/nF5WUCXbvGcMftcgFnayvwxp+9ee0waGwSeOrH3j1fZg308jKBBx5y9jyJEqDN5fqIbA0NwGVXqLnxMrTgfM1r8q+x9o/ATf9lnCOeza+7d15NGBAVq8gF259//jnuvfdeKIqC5557Dl/5ylcAAJMmTcLEiROxaNEifOMb38AJJ5wQ7EApVJycVOJxBXdP74Ept8tFYka3fGVSOhIJoFs3udlaOzNNVjnXdnLJzW6fa7eV1f0X/fQBp+bNB6bUCE9m/KOopcWbHH71wq7zmoRN9UBTk7Nja85sIBZTg/a33xbS6UVWZNKFNA0NwOoX7e0fO991P+/esXY2kTuRK/335ptv4p///CfGjRt3NNAGgF69euHmm2/G559/jlWrVgU4QgojpyeV88Z20y27pUevMoiWOzm62vyxd05TsHKZglEW22nszDSpgbCC88aof2pjdJpLblQqD8jvSTkm8evVvbv/48ikXZDU1qkB98plCmom5XcMQUkm1Xx7t268Hli5LHfxr9PZ1VhMrRijfQfOOCO4vPiPP7H/GNn3befunUa7e2eGtbOJ3ItcsP3WW28BAEaOHJnzbyNGjOi0DZFGm102Y3RS0YKmhQsUTBivLlTMfpxevdvMutpaS/PsADHzses3yDXWALwJap0GL2b1uWX2s1dk0k9GVfk/Dj3aBUk8rqCiIrqLHu2ouRnY4yLdQPsuXH9dTPeidY9ku/Bs6bSaEqXVwg9ylrbfcfYfIzte2e/zxk0dtbQB4O7pPUy3Z+1sIvcil0ayfft2AMDxxx+f82+lpaUoLy/Hjh07DB9fWlqKmMyUWIEpLy8PegiBm3HXQUydpqaEiIzztnLkPHLPnb3Qp0+3nMdp+27Muep/994jsHHT52hsSqOyTwzDhnbJORmtWXsQ9963r9PrZL7ut685FueO6nr0samUwMIlLZBJwfhC3xhGVZe5PgGecPxhAM5Wmx042BPl5R37KpUSePudw3jr7cMYPCiFNWsPuxqbV6qre+KNN9ul82q90tAAfPSPEpx5xjH49y8eAuBxwnCIfKFvDP/5ja54bMFBx/v5zmk9cPVVx+oe02vWHsRDj7Rj1y7nn6GiAIuWKLh4XBlGVQN9+7agoSGd8/30i6IAfZMx3PCdUixf2Sr12tpjZL/rst9ndU2F+uJ9+8Zw93Tgicd7HdnHHVewX+gbw13Te+C8sbm/iaTiedW5Ytt3kQu29x1ZyVRSUqL777169cKnJt0oWu0k2RWI8vJyNDc3Bz2MwA0fBjxwv6K7Uv/WWxQMH9aO5ubOZbCM9t2pp6j/AbmNTFIpgXnzhe7JVPu7P7x6AN+9/iDa2tST6KZ6IR1M1EwSaGuz6JMu4aQTndfJPrbb/qP7qrZOuKpP7ace3dsx/XZgxqz8v/a62jacdKKCvXsLL4e9ZhJQUaGgdwXQ2prGzNnuaoMf2/0ztLV1PIeWfrV+Q8ddITeEAD7dlca62mYMHaJg8iTh+JhQFNgO0oVQv7f797dKv7b2GNnvupPv865daUydtg8P3K9g+S+BLVszqw8JxOO5v4mk4nnVuULbdzIXDsU3xUtFLTMlJLPdt5edz5zkTsreAp4w3n4zDaM2zDLtl/Vkptto1Q/CGGhr46yuUjB3troINZ+eXgqMnygKqtoIoAabiYQakJ0+QODJxe6fMzNVQi/9yiva98ystfpVE82f4/LL7L1mdpqZ0WubPUaG0+8zoKY9AdBd20FE7kVuZrtXr14AgL0Gfa737dtnOOtNBPjfkMFJ5RPZvMyRI7ytueukaoaWw5lKCSxYGN5Z25qbcbSO+MIl9lqpe6WxEZ4HjEETApj3EAAIlJVa1xO3onfx5pfM75lZpZ4BX8n93mglM0tKgBdWWY/xum8Dw4bqN6DKfu3yMvX5mlsUVx0ZnXyfhWAtbSK/RS7Y1kr67dixA6effnqnf2ttbUVzczOGDOEvBgXHSeUTux0fZcjW3NVO/M88q9+UQ5NIqFVTtNm2LVvD3Y574RLg/Q/S0g1E/JTdnKVQuA20gc4Xb3ZKUdql9/0xuvA2C8QPHUpbfp6xmBpsd+1qHDB3fm3vZpGzx759u1zte9bSJvJP5NJIzjjjDADA+vW5Ld82bNgAADjzzDPzOiaiTE4qn8jcArZTFUC25m4qJY7mx/bvr+CG69QufZkSCbUc28urFUcNMQBIlzT0UmMjQhFoA9aBdk/zghC+yHdZxGxlZZ1TJZyWopRlt6qGUcnMbe8qlp9nOq1uF5TMsQ8bKjcO1tIm8k/kgu2zzz4bX/ziF/HKK6/g/fffP/r3+/btww9/+EN06dIFl11mM6mOyENOA2ezPFK7+ZuyeePPPNuRH3v/XIGfPd25HXZpKfCty9RAfMtWdKqvbefkXL9ZfttClp03nkyqFzL7A1iDZpWb7KfSUmDVcmfdDG2/VsL+98dM1LouWl38KwpraRP5LXJpJF26dMEDDzyA7373u7jqqqswbtw49OrVC6+++ip27tyJKVOm4MQTTwx6mFTkZFqlGz3O6Pa1HbInerO0EUDtkPfzpwGtVFhmvveggUCfPtapJGVlamdBGYkEMGwo8Po6ue2jpls34InHO+fm/nEdkO+um8kkcO01Ck46MfcYdVJtwy4hgA1vAKWl4uhxruUteyWRAK74lvo+vVzsF+aui9pdquzfjik1MM2FZy1tIn8pQuSr0qi3tm7dioULF2Lz5s04fPgwTjnlFFx33XW45JJLTB9XSOVmZBVamZ18crvvjE5+fttUr85W+0WbKZRZ0DZhvPwiwasmAjd/P4YfPpXGsuX5z3MeMxrYvBXYvdu/11i4QL3Fr/H7s9IzdzZQWqqWeStNCPz9I+Bfn6pNVy4ZByxbDjy/DGj/LH9j6tUL2L/feaD/hb4K7pouLBcZuv1OplLq3SCr9RXLnlVTSfL13TdeDN3xXdW7+L/nzl4YPozl/eziedW5Qtt3MqX/IhtsO1VIH7CsQjuw8ylK+y4ziCgvE5g3378c2GQSWPG8crTah16d7dIEMH2ago/+Yb7wMpsWyB86lMbqF4H/2wm8+JL/s61XTQQGfCW3DrvXixvvm6nm0mpkgjevJBLAuAuBNa8ZHxuVlcCk/1Znntes9X9MXnniceug0SoglWV1kXnVxNx97OR1vBqP9p3Su9Do06fCl984o4uaoCYgvBalc0PYFNq+Y7Cto5A+YFmFdmDnU9j2ndGJSi+ISCT8LXeXOUObSgnUbxZHc7Orvl6CU05WG1B960phq2pJZiAP5G/m12p/nXO2mt6zf7+718me2QY6giW/UzhKE51z8gtBWRlwx20KLv2medAoG5DKMpopHnuu+cJcL/PHAfmZ9szvVCY/fuOMLmrOG5PfixA/he3cECWFtu9kgu3I5WwTFSvjE5jQPblrgWN2EJlMAhdfZJ2vbSUzLzweVzB8mILhw9T/X17eFc3NCjbV2wu0gdyav/laaGZ1YeJFc5qSEv2FaFqO/8IlSqeW2V4rtEAbULtZWgVqstV5Ro6Qn2XVW19x+gCBK682f5zd17Fip4lWPupom5Uc1fudyi5FSlSIGGwT5ZmT26h2T2CZunbNXZQHAC+94i51QWYBmNNAOfNxO3fKTfXmY2GfW/v2AXV/Ehg9Kvfzrq5ScPG4MqyrbT6aCnTf/eEPkK+aGGyJxco+1gGaXwFpdp3uTfVAY6P5Qeh14Bum6ihuaqV7fRFCFCYMtonyyKqjox63zT6amoC/bAOuv67z81tVKDAjWyrMaUUG7XG1dXL53qWlauWUsBMCmDkbmDdH6H7eWn1klYIBA9KhbfdeUgLcdYd6+1+342IlcOCgv6lMssdhvgLSIALfMFVHcVMrnV0sqZBFrs42hU8qJbCpXmDNa+qfmbWYqYM2O519MtJuo9bW6e83L5p9/PTnyHl+o7reMmRLhck0+MlWVgY0Ngm8szEtfZExZLC91wjaw49Zf09SKYH33pN7vjPOAI7t5sHAJJx2mnqn5JVfd+TZVlcpWLlMwcIFCu6bqf65YpmCO6f5O0spexzmKyANIvB10kQr8zf7rbcPe/abna+LFaKo4cx2AZFNT/ByNbiTmdpi5CZn1KsTkN7zZ+edarWOm1sU7Nwp8OLLnetoW9UJzyZT4zdbSwswd5705hgzGujfX377MGhrA37xjMCQwZ3zfd96+zC27xDoXQGk00K6Hfrbb8tt16MH0O6yytvYc4HhwzrP0xj9plRXQbfevIyyMjUf+5NPYHocaq994OBBHNtN6P6eaQGp1SJCt41d8vU6mezW0c79zW7z7Dc7XxcrRFHDaiQFwqykVeYqfa9KX2nP5eXq/jDyatW0bEUNvUoVXlbj0Ht+M04vzLL3m95x55VEApg9E7jtDu+fO5+ySwyWlAB793r7GnZqnhup7ANMvqWjTrfeRVn2b8rr69KYOdve62T+ftipwmP0e5av3ysvXsfpug6rJlp+7wM3ZSzNKqaEUaFV1MinQtt3LP2no5A+YI3VD6hWf9bLH1q35aaiwqsfhTWvqe3QrWTXYAa8rcOs9/x+0NtvqZTAL54RRzpSeuuJx4F7ZrqftS10Cxco2LvX2UyzE/PmqHdO7By/iQRw5zTr3yInv2cyAakX3LyOmwkRsyA9X7/ZMo2u9ERtcqbQAsZ8KrR9x9J/RUAmPWH+I+345dI0nlhk/lx2VoOHrdxU2LnJ5XSSiuF2HHZln+RHVeuPdfWv/Xn95hYF4y4UrmdtC5mWvhCPG6cO9a4A3vizwK9WeFPZ5cnFAj17yq056NoV+PbVcu3VZX73Hv2BwIGDApV9lIy0ltxyfX40VTEqC7jtXfXC2+h1zaoOyZTHy66Okilfv9laGUujGuTZdbb9uNghChsG2xEn8wP66S61E5+XP7RhKjclK8jOZW5zOaurFEwY7y6Y7NZVXXi4qd7b9643E9e3bwsmT+pccWPLVkjnINvVuwIYOULB8pXe3ajzIr85TDLzdjsHZZ2Pg6FDFJx5RtqTtJyGBhxtdGSlSxfguOPU42TQQGF6fMr87nXk/otOOclmAamXMl+ntk6tv51ZFjA7T9qPWuCZ8vmbbXZRc9N/FUYHSSI7GGxHnOwP48efePt8YSo3JSPohZzxuILJk4Rp3mpmMKR3YeA2mDx4SD/4cMNoJq6hIY0Zs9BpJs6vCy9FAVpbBaq+rlhe0FgF0Dder+ZJ/2FNNEoJynAyc9japgDw5sJFttV9e7v88dnYZG9sQTZOkZ2t9nvmOd+/2UYXNfm62CEKE5b+izjZH8Z+x3n7fE7KTQXFack9r8ewcIn+vyWTnfMVa+vU3MrJU9U878lT1f/f2ioclenTo733adPT+NWKNA4d6oiIZEs5ms3EaSkITy7ueLxfF15a7er1G9S8VjPDhqjBebbuxwJzZ6v/e/nKwgm0ayapObha1Q7ZEp2yjYRkvPwKcMwx9h5j9t2srRNYuNjZWDKPx3yQna1OpYTvM89R+s0mKjSc2Y44mfSEL/SN4bJvprFsuXclqeyWmwqK37dmZVgtGKq5GZbVAhob1YByzGjgtde9G9ubb6n/LfkRMHFCGgO+okjfAZCdiVu5SqCiQs0N7tMHttu3y3piocDKX6m1w/XyRU87FfjTBv3Hfvb/t3fn0VGUadvAr+qwGJYkDSSo4MLiPsPuRCUDyKLOGFQQgVdm8EVmdBRRcUFcIoiijOigiDOOHhfQ0QABd50xiIDgBgRBFPQdZ4BPRAiYkJDI1qnvj7JIp1PLU1tXVff1O8fDManufqq6On3XU/dz3weAB/8M/PSTN2PzQ06O8t+GjcC+fXWY8ySE3lfRRkKinKQOJX427S6+UyV7HYmV2WqvZ57D8jebKBVlTJs2bZrfg0imAwcO+D0EV0UiEo47FlhmEIA9ML0lTjjhiOl2d90hoVMn8T+0J58koUtnpTth/K35vDzluYKw4OXzDcDiJcbb1NQoearHHdd4vJmZmY7OmVhMxi2TZcPUhS+/AkYMV2Zozbb971alWkPz5sDBg/U/z8sDevUAvtthb2GbLCvv47IPGqdZ1NYqP+/SWXnP1f16510l1cXMZ2uAFSuBf76n5OXGj9tNtbVARgZw2aURXHH5z7nHv5Jw+TAJ1/5RCaaNjs2RI96MK1HmMcl5rQMHgJUfAu/+C/hgudj7euhQHW6c5N17ZFX8Z1PksyTiV7+S0KVzcv42bfpKOffN/OpXEs7NB95+1zjNKS8PmDhBQiRib/xh+JsdFk6/G9JZqh27zMxM0204s50CjFZ/33SDhCGDm6OiotZ0Ozt/aJO1ut8uvxZyqjnX68rMS56pM1uAWNUGtf31+HFAx45Sg2N+6JCyGHbH98C3/wE2bHC2H/HUWcZVq+2XjlPHnpXlTRvvZ58HOndSFmbGz14uWCQL5w7bIUnGgbzaoKVtG+CBh5SZ9KCIf19nPRq8FBr1s+lGJ1UguetIrMxWJ2vmOfFv9skntUbnTtWB+ZtNlIoYbKcI0aDXi+A4yAte/FjIaaeBi51g/823gUWvNHzvmjWLYNQVSrB/yXB3c1N37wbmv+ROisExzYHpjyrl5qI5MjZuBJ5zqf62GjwC9ef55y5edKhatlSC7P37ze8m3H6LcjFbtl7GHouL+7zm5vvqBfWz6cYFsVbbci8nCqxWIRKZEHFjzPF/s6PRpqioYKBN5CUG2ylENOgNcnDstmS3T7abU2on2DfKP1XydK0/pxm36ljvLldSoIatHBf6AAAgAElEQVQMkhCLAQ885F4Auns3cPsUGZu3uN+BMV5Njfk2iXeNnASMvy4APlxl//FGglqfPP6z6cYFsXHbcvcrFNmZrTaaEPG7qhIR2cNqJBQ6VqoqKF92xl9Cbi0KElmMqUUNKESqBSRaV6Z9HLwqs+dm8LquTD46S+f2osnP1ngbaJvJzAR+/zvgrjtwdJYdcBYwXj7M+vkhysqxym2ndOwcOcKbscSL/2za+XzoSWaFImW2Wmo09sQqRPGUCRHlYrRXT+looO13VSUisoft2tNAKrVGtdvK2G77ZCvHrmy9UqbPqsSyf3arLcQfB7tjMZKZ6X61jtatlXJ8ywUWkYVV/PsSi8kYOky2nK+uttFetdqdTqLxrObPjx8HjLtKmaf5YHkdpk4Xq6X967761WAS6X02nVYjycsDil/Czw1mjLdz2rY8kZP0Dy9brafS90My8bjZl2rHju3aKaU4aWWcjIWcVmeT1YCioK8SqKvjun8a8Phc67O98cehoK95+oxVWvWpnaquthZoP/Jn4IEHvetE6QX1fRk/TkZ1tb2FoeoMb/9+0M3pnXg9GpX3E3HF5bCUr92xY/2JkJ0toa7OPPgddxUwflwEHyyvw6OzG75/6tizsyXTz2ZBX2BAf2D5CvHxxtu9G6530xXlJH0vWa3WicgbDLYpFETrZZ97joxNX2p/aXudqy6aInDV74HevSR076ZUgEicscrNBW66Adi6zVoQpFIWCCrpM6KzgGbVNAD/W5fn5QJn95Fw+63uz+4mg8h7mfg+5OQAFwxW7gDEYvLPAbf+hWMkIj7zm5cL3DRRCZYjEfFOj/HnuegFZskSoGsXGecPiKDfr+3N8NpZeKzF7W66yeBXVSUicgeDbQoF0Zmd4VcAlfvqg41kLh4SWYwpSUDnTkrtYLMGNjOmS7h/mix8m16lznAZVTaY8Cdgz14l8OhwvJJKMOMh8dfww4D+yn4V9FXyhb1a1Pf73wFvvunP7LksKyUCd+1SWsZXVir7ubCkYQtz9cJRTU1Ythxo20ZGXZ0slBYyfhww9ndKWkrRNPHxqesL1NfdulUssK+ubnj3yepFr9P0kXhud9NNBj+qKhGRexhsUyiIztgkBkgiKSZuEak8IMvA1OnA5i11pp0gH58r4647rAXaKvV4iabPlK2XAQRztlid7Y0POvv09u71IpK/aSpfbNJOk0g8l+3M9CaWkLO6oPemGyRHddbtdGu1u/BYS14eMOxSuNpNN5EX5QSTXVWJiNzFYJtCwemMjdct2VX9+4nNRhcvNH+u3buB9Z/bG0f88RJJn9m3TxZKJUmG348BIhFg23Yl6EwcU3k58O4/vXv9bdu8e24RZvnIj89VZrCtzEgDSkpK8UtAs2bKZ8BKkxg1SAecpfDYySu2Ms7sLGCfwaz+TTdIaNZMws0TjWfK7VYo8qo0H1utE4UbS/+RI1bK8Dl5vNOyX/FdGr2mLBpLzmtpyclpPMNldJxXrFQCtyAE2oCSl331/0r48qvkv3ZONlBm8wInWXbvBh6dbf1xlZXApi/rg7FVq8Xe8Kt+r1S5KOgLV2aYreYVi25/7R+PwRuv6pfZu3+akvte+r6M1q2V/7dSjs+M16X57JQQJKJg4Mw22eZ0FsfK40Vmdswka/GQm6/Tswfwzj+tVZi4YLByvNTb2atWy3ivtGFqhHqc7QRQv70I+HQNsHevpYcJUW+Fu9Wa26oePexXukgmu2ku68qUqjfRHBn/fE/sMb17KTOmZeudL04ErN+l+u47sfPznPxmyMg4hP790Ch1at8++edKLQ3Xc9w4QawKihnRBdxO764lo6oSEbmPwTbZ4qQMn93H6y34y8lRZu3MJGvxkFuvk5cH9Oxh/SKjoK95Pm99OTrrQe07HqZwqLfCV63259bASSf68rJJM+9FwEpufvxdEi/apZuJxWS8/qbA8+YCvXs1ObowND51Sr1zk6h+ITIwZJCzYDWZpfnSqQMwUapgGglZJjqLo5cS4uTx/ftJKCmWMGe2hKlFyr9LFpqnmCRz8VD3bkB2tvPnqa+tLOH+aWJ1rvNylVk8rdvZWhYtdjxMV8TfCo/FZLz1jg9jyFXuJNg1cQJQdDfQu5d7Y9KSk+Pt88dT75IA7rdLFyHaXXRoofbsrtO/VaJYmo+IjDDYJsuszOJ48fjEVsbNmkWS1pJdREaGhNsmiW+fldXw/7VyMM8fEMH0qebPNXGC0thElJ0GK27KzFRafy96pX5/138u+1LT+8BB4JNPlcWZVuXlKcH6U08D68rcH1u8iy7w9vnjFfStPwe7dwPatTN/THZW4+2M8oqN1hOIBqfxjXbiOf1bI4ql+YjICNNIyDKnszhezAIZ1ZTWa8nutH2y0WPPHxDBlaPr8HKx+XMd0xyY/ihQUSkZjuP8ARHMmC7jz480bvednQVMvk1C69YN81JFeNGGXdQ9d0ro07vhvtqtwOJUVZVYlRgtgwdaq1dtV9OmwNvvev86QOO7QRkZEi4dKps259lXpVxARSLmudBm6zacBrHJmnFmaT4iMsJgmyxz+gXo1SyQlcVDThZ3arWc1nrs9X+KoHnzOjw/z3jcu8uVwEQkb1Tdx/Wfy0eD0p49lNzujAwJpe9bvx3uR6Cdl6vMwqvVIcKw0EuSgFatlAYtqvg26clw+LDyn5mJE4A2bSRs3Sr/nKdtndbdIGUG2fwcq6jUPp/jL1K/+047cI9ft1HQ11kQm6wZZ5bmIyIjDLbJMqezOF7OAoksHnKyuHPuX+s0Zz/Vx94/TWlJrTrxRLHgxMrMWkaGMhus1djFbtCQlQXs32+vgY4ISQLGjQVOOFEyrA5x80Tl4sFqgJiZqcz6xs/4N2sGHDrk0g5AKY14/7TGM7ZKqkJA6ib+7PudwCldga1brT9WbeOu9RlwErxabcKjVO+QcPNEyXYQu2+f+fvi1oyznbtrRJQeGGzTUaJpFU5ncfycBXJSoksv0I43dToA1B0NuJOdyylyIaPF69zt6VNx9JgYVYdQLlgg1HI83k8/Kf+NH6fMPCeWOnSL1ozt3h+DFWgDwOIlwOIl9sb10wH939m9ULbTbl3NpbYbxMZistAdh4nXu3dHhaX5iEgLF0gSAOXLcMRoGTdOknHf/cq/I0brN2Jw2mBB7/FZWUrAVNDXyd7os7tg6oPl5oE2oMwMF03D0eMm0ozHTjk0vQVlyoVMsL7YMzOV2WBA7GLnib8Ct99i77UWLVbaunvVbl3rokj0QqlXD6B1K3fH44Xqav0mLCLnV+KFspN26+odH60qRPGLarWI1mrPznb385K4gJuBNhEx2Cbbnc/sfAFqPX78OCCrtfKzqirg2edhGOg7YWfBVCwmW+7Yp5YTsxOcGBG5KNK7kPHLTz/Vn0eiFzvZ2co+iFS/iOflDL3eRZFod9P/twO4T6CiTFAYld+0cqHtpEFRNKfhhaSVIJbl+IgoKEKVRrJmzRosW7YMmzZtwldffYX9+/dj2LBhmDlzpt9DCy2RWac/PyKjZUv56CK8eE4bLKxaDdNFUm7mOtpJ69iw0fpMaXwDC7dyOa3kmsffzi7fI+MvjwE1Ndb2wcz5A4C16xouGDTy+FwZ1/5RbNu9PyqNRuJvyTtZ7OcGvYuijAwJlxSaV+koL1fKCtpJ8/GDURMWK+kSToLZGTOBmyfKtv4GsBwfEQVFqGa2Fy9ejOeeew5ffPEF8vLy/B5OShCZdaqqAm6+1d5ss1HKQ7IaTsSzk9ZhN1iIf1z8XYCiu5VqEdf+UanGIbJ/do6VOhN44ZAILv6NvX0w8uVXwORbxbffvVus0ydQHwDFz2b27uXu7fjEetp5ecCVoxufH3l5ysJItXJK/Hmsnt8VgvtVURm8NB8jq1bLup9h0ZlmJ8Gs2d01I16kcBER2RGqme0xY8Zg/Pjx6Ny5M7744guMGjXK7yGFnpVA0upss1l5vWS0ONZa9Gm1uoHdYCHxcRkZEqqrZTz1dPx+y0IlB50eq4K+EhaWuJuWs3u3EoBaWcyYk2O+vVm6hluzwvfdq6SrJM7MXvvHhueMXuWUIYNklL5vbTzRHBmRiISRI4B/lQL7PMotd8vb7wLLlssNujiKlshUufG+6S1aNsJyfEQUFKGa2f7lL3+JU045BRkZGX4PJWXYCSRFZptF8sC9zqnUy28GYCnnVDQnN15uLlBX13A20G5uPOA8/9TOPoh49TVredLff2++vVG6hhuzwrm5yvt8/oCI5sxs/IxtdbWy4FXrPXu52FoAmZWlpEXcOEnGwhIl0M7JBgb0E3t8ixbir+WWmprG7dKtzja78b7Z7fLodCE3EZEbQjWzTe6In+2N5siWZ53MZptFUx7uukPs9excEJjnNytpHW6VOkxUW6Ok3qg1ttu1M6/5bDR75zT/1M4+iFj9sfi2OTnA628ab5OVZVyJpn8/CSNHKMGqHePHAWN/Jzab6aSKhhati4zKfcDylWKP96OFvRErs81G6xYG9IPQ+5m4aDnxs2v02izHR0R+SrtgOzs7G5HEZM00EI1GAQClSw/ioYdrsWtXffcSpfSVDElSGneIqP2pBaLRYzR/99mawygvN56+VFIQWqN9+xrs3l2n+bqSBLTPi2BA/xxLX4yxmIyHH63Q/b0kAU88KWFoYQ4GDTR/3mg0issuBVq2bHzsEo9ZixZKUFSTEBglzg5q2b0b+Pe3rXBOfrNGvxvQX0b79pWOjpXePhzbPoLfXNQML8xXCiyLngMAcOSI+LZn92mG0qXGVxxVVcDLxcfgnPym6N2riea+/Oaiw1hYYq3syLHtI5gyuQWGDG4u/BiR81hE+zwJBw8ClQINVpIpGpVQUWF/TLt3A//5b2v86uymQttfdikwtFDGurIjKN9Th9x2EfTu1QTryo4IvZ8nn9Qa0WhTzb9h7dtHcOfkgxgyOKr7+EEDhYaZltTvB7KGx82+dDt2aRds7wt6kqQHotEoKioqdGd71S5rrVuLpwTs2FGDigrtPt9bt4l9gW//f/tx4wTg7nu1fy/LwMQJMqqqBFef/ez5eXWGubCyDPywqw7LV1SgV0/jYFs9dgDQpzew8GUZGzbW5/n+4iwZm75U/n/7dtm0NbuZm2+txpTbtW9v3zhBdnystPahezcZGRmH0LWLZKnDn1XHHyfWzvHvz/yEvz/z08+5wY2PRedO5ndjcnOBu6coCxLr97EWFRXi08Oi57Ge4cOAAf0k1NXJP9/lCJZbblJz0e0/x9Zt1Tilq7UZ4lO6Kv8Byt8bkfczLw/o3Kkar72ufXdm1646TLptPx64r4apIRbF/40jcTxu9qXasRO5cEh6sJ2fn49K0ZIEAObPn4/8/HwPR5QeRG6JN28OjPkf4B+vmD9fTo7+76ykPPTq6W6L41hMxiLBFAM7ueCNSx0q/x+LybhkuPXnS6Q2FNFahKp3Kz4nB7hgcH1lE7O7AHrlGr0sF5iXZ70Nu96CXJGUmJsnKi3t7VBTFLZudRZsD+in5H6Xvg+o6URORCJK0yQ3nue+e5WOnpGI9c6O8dwqm3dJoXYJUNVNNyjvpd3ur0REfkp6sF1YWIgaC9/g7ax2tSBNItUsysuBNoJfnrnt9L/MrLZ0djOncsNGoEqw7vN338kA3PlS3rDR3coSiUGDGgAeOqzM2ALARx//3Ja8Usl5XVgiVtnESH0gLqFZ0zrNtup2TLxe+bd1a/G63Cq9ACozU2mYE0+SgP8ZZX//tSro2BF/frsVkLoRaKvPo3ZN1M2lzgUOHLRXNcYKs+Mdf9Fdtt74fZFl59WLiIi8kPRgu6ioKNkvSRCfxc3JsRYoa7FTcstpcxyVldnqZ59XbmG7cdvZ7S508UGDVkCiVz7PzWZA5w+I4MrRdXi5WH8bszJ+kQgwcgQcpSskBlB66VCAEnC9XAycdWbD91VrQV1i8G70vFZNvL7++UUuPkXLJx5zDBCRgFrtDC5hiTXgtS52V632tmye2fFOXMzKjpBEFFbpt1IwTYnOruW2c6e9uF8lt6zOIrrVNEf0dVu0UGZ3Rez9Ub+Eollg5tZ+XftHCVdfpcwix1PfxztuM34fR44Aihc6r42tBlCxmIzZc8z36/En6vf/g+V1uHS4cYt7u5VH9MrxzXkSR58/I0PCkEHGz3PF5WKvd+CAEmg3F1/nqUmrBnxiGUQvP8Mix/vNt43HrGfr1sYNtIiI/JR2CyTTlZXUjowMd/Ko/Si5ZbWBhlu3nUVf987JSrAtsmAumiNjxkx743FjvzRn1FsDV4yon3FcsVLWnJXNyZZw6yRlAZ4RtXqLmbZtlACtZIksVtmlXNn/Tz7VnplPvAMgkmalRW/s8c8PwPDuwJWjleP5xlvKvolUgzl40PpYVVbSP7z6DNtp0iT6GZv3IjDvReOUKpE7HUREbglVsL127VqUlCir3378UZnqWrduHaZMUZJYO3fujGuuuca38QWZ1dQOt75k3UoPsfJ6VutJu3HbWeR1rxytpGbEYjJyc43zT/PylH+dzAg72S+9W/xV1Wr6DQDopwHsq5KxdZv5+GtrlcYulQb57nl5SsWcEaOtHY9Fi2V8uMp4m1l/kXHgoIzt28Wf14pZj8qImeRaL10GXPtHZVHnPVO9n4097RTrnRjd/gzbSQmx+tnWS6ky62xLROS2jGnTpk3zexCiPvnkE8ydOxdbtmzBtm3bACil/LZs2YItW7YgFoth+HDjkhAHDhxIxlADJTMzEwcOHMDJJ0no0hn4YlPDGbm8POCuOxrPWEciEo47TkKXzsq/kUg4vojU/SwrUxZ5mbl8mLJ/WtRjZ+V1E49vTo6yqHHkCCVrKxKRcNyxwLIP9J/rrjsk1NRKWCHY8ESL0X4ZicVk3DJZNpxx3rQJ+PhT/ZldSQL+/a3YDOwlQ4Evv9L//aVDgTlzrTd1EQmgDxwAVn5orzuhiAMHzZsZ1dQoVXnOPUdCt1+2xEcfH8JBsSqJtny3AxjzP+ZVa7y0bx/w7r/Mt+v2S+CM03H0b4/eZ8zIpi+BEcOV51AvIhMfW1urfB67dFZeI51Y+RtH9Xjc7Eu1Y5eZmGepQZJlKy0swi+VajuKSqxpmS63UN9fVoep0423ycsDFr2in4Nupx6o6PHVmmFLrL5w4yR7H8/cXKCk2N4CNieva8ec2UpbdK1jMfF6Z4srw2JqkZIvHY1GUbp0r+d1uSdOAEZd4d+SnVhMyZsXeV+16q2rn7F1ZbJQOck5syV07wbT1zT7e5CKUq3mcbLwuNmXascukHW2yX/JTu3wQywmY+7fzLeLrxrhxmvGB9kDBxg/t1mqTvdu5ikWeg4eVKpJ9O9nfexO60vHMyv1F79OQOtYKLm9qT8fEL/4r9svzWtqW+n2qmXH9/Yf6wYrKSFa6SDq3zAlzcT8Ofb+aC9PnIjIDQy2KSWJLnhT6w07ZTcP1OzCp0cPYPkK6+OpqhIvAehWbWktI0eYNytRLy60jsXeH1M/0E5csLjpS6XrpBFZBn57EfDOP+29Zofj7T3OTXo1vvVo1Vu30kCLpQOJyC8s/UcpKZlfrHrl+dQZufgSc3piMaVcWen7yr8fLK/DiNGyrUA7nlkJQL2xm8nLBYz6TUmSEkSO/Z12+bicHOD+aeYXAm41hAmyxFKaoudk795A27bWXy8SAYZdav1xqsRz1UmJvf79JJQUS5g4wXxbddY5nlqhxIh6MWMlMCcichNntiklJeuLVaResFkLaS9nlo1ui9utLQ0AA/orKSIis9b9+wF1dTIenV2fElNZqeRiRyLGTYVEyr3l5CjPF0ZZWY1/ZqUm/i03Wau8AwDn97efOuVFJY+MDOnnzrVi6SCJj1XTUfRSa9TzsHs32XHDLiIiOzizTSnJyoyXE1byQLXYnVm2Qm+m1E5t6cjPfzEWliiBdlZW44AxLw+Y/Uiro8HXipUyiqY1zj0XmflXginjIO7Wm83fa7dMuM68KZFkIeZU033ij4GVc1dtPKMVtOt5/wM0auojwuwOzvPz6mzPcju5OFaPQV5ew6+zxOY7IueS066YRERaGGxTSkrWF6uTdBUnM8uAfvfCRHqBjOjYr/q9knsNNF60V1Wl/Dd+nFJRY85sCYtekTBksNLiUHTm3yhIM+tkeP6AiOl77Ya8POCUrsYLPgF7Cxfjj4HVc7d/PwlvvirhsUeV9+qq3wOPPQqUvgv85iLtx1tJcQLE3sdnnwcuH2U9iAecXxz37yeh9N0czJktNTgPE2fb/epsS0TpjWkklLL0FmBZ7YRpRHRG7scfZZS+37DiiN2uhSqROsNGAYro2Hv2gGknyzffBha90jg9wW4FiMTKLgV9gYK+km7lFquL7Vq2BI45Bti713xb1U03SPjoY7FAcuQI4IMV1jqZliyRccIJB3FMcyXtaMZ0qXEHzyyltXtB34aPz8iQ0Ke3hD69638Wi8lY/ZHxeB9+xDjFSSV6ru7ZI74wN57Vplt6z9Grp/lr+tHZlojSG4NtSmlef7GK5BRHIsATTwJqTqqa43rosCtDMGQUoIiMXbSTpV5uuJ2Zf7284EsKgY4dJd33MP69Ll4o46OP9V+vpka5MzDofCWtwoh6cQYo6TMiCvpKmHCdMpblK2UsedX8Mco5sh9AfW3pkmIJ81+SsbBEmVGvqlJmkN94SzbNk17/uYyqKuPX3FelbNent/HnYdVqa7PVZusUtCTj4liVDuVPiSg4GGxTyvPyi1VkRi4x9UK9hT9+nDdjAvRnQONlZEgYMkjGy8X62wweCFRUSrCzeA2wnov7wfI6FE1r/PvycnUxZsMLlsQATF0Id/+D5q9ZXm4eaOfkAMUvARkZSp6ziPja4ep5t+RVa8Gqeo5cORqa749eK/J46z8Xe631n6PBjHiiWEzGv0rFnktlt141Z52JKBUxZ5vIIb08UDNvvmVcPs8OtWusOgNqtBAuFlNSW4wsXQZEc8QCRa3A2kou7gfLzTt+qoxyjp2m58SrrFTqXlt5zsS7CSLHQE/xQuPfm+W7izIq57dho9Je3Sq7ZTXVdJAhg5R/wxxou1kmkYjCi8E2kQv695Nwo0Ct4Hi7y4FLh7o7jp9+avj/ToPS3buVf+0uXhNd7LdqNVA0zbhropY/PyJj7bqGVTDcbkqy90fx5xw5Qnu23e4CTrPjYVTppmcPsdeIRJSLshsnybjvfuXf+Is0u8cz3etVr1gpGx5XIkofDLaJXBCLyZjzpPXHbd6iXWs5OwsYd1V9dYkJ1zkbn9YMqGgQVVHprLKLWQWIgr6wXZWlqgq4+daGM/huB3lt24g/Z0Ff42NgpUSfKL33sWcP89fLzASen9f4oiv+Is3O8Uz3etVuNLoiotTBnG0iF9hNXdBbxLevSgmCVO3aKUG52YI3PVo5tFbyqXv1dLZ4zSgXt2y98zrj8TnMBX3NF36Kig8a3WiIYvf9M6L3PmZkSLjjNuP1BE2bNr4bEu/xuTKKX7J+PNO5XrUbja6IKLVwZptck875iW6nLiTas8d5oJY4Rqu1jdXW2ma1jPXo5eKW73HvPHl8rvJcbtXdVoNGZTGp2LZanNZU12MW4Ksz6olrA3JzldroZufU7t1Kzrro8WS9aueNrogo9XBmm1zhRRvnMElWfmpWFtC8ecMvc9F25YljtFPbWK2wodbBXrYcaNtGdlQxws1W62oQY6Xu9pWjgdL3YThjv2KlcdWWK0cbn+duLtqMJzKDrHdXYdlyQLTKzJBBOnc2coGhGiUZE+ukB6WiSDLG5aTRFRGlJgbb5Jian5hIpDxZqhCpWe2GqiqlO2AkIh0NGH5xloxRY4xfOytLewbUTm1jty+scnIsP8SQGsSoQeb8l+SfywZqy8wEFvxDmcHVCsJEZqWXLgOu/aOsG7h5EVhpLcbUo1X+sm0bsZn2+IZMRsdJFdQL72SNy0nreSJKTUwjIUfcaMedCpxUnLCqorJhOkazZubtyquqgFWrtX9nJT3Ei4Vfue3cPW6JQcwbbxlv/+zzwKgxStMYrXJzbqQFeBFY6S3GFCWSRqQ2ZFKraRgdJyC4CwOTOS6nreeJKPUw2CZHkpmfGPSccLv1tq3SCtwK+mpXNYlndNGjNINRnnvvj8r7lbitVxdWTupQJ0oMYkTTN4yCLjfSAtzcR8CdYE3kAlGvIZPWcQrqhXeyxyVa7jIIaTVElBwMtsmRZOUnhqVmbfws8cgRxtv+2qC7ox69IGvDRrHFbnoXPSLH16sLKyt3BbJNLigGD2yY1mD1vNMKupw09VG5fefDrWBN7wJRMnnqPz/S+DgFdWGgH+MyK3eZ6ml1RNQQg21yJBn5iUG9Na1HnSX+YIXxdl//H3D/NGsznnpBlpOLHtHj6+WFVf9+Eq4cbR7kTb5N2U7Py8VocD5YPe8Sg64VK2XMmGn+OJGZZjfufGRnuR+sqQ2ZsrPrfyabfKSqqpRc+HhBXRjo17icVu8hotTBBZLkiMjCQCe3vMNas1Z0Ni07W0JJccNKEfv2KQ1yrNSztnvRY+X4enlhZVbtIztLCbSVBjjGzxV/PthZuKoGXXoLf7WIzjSrizZLlsh4wkYTpGbNlZQhN61YKaNomvXHLVoMjP1d/aLQoC4M9HNcWgtTiSj9MNgmR+yUj7PCyi3gIH2pWZlNa/yFLKHfr2Ws/1zG+s+Vn/TsYdx+W/Si5xdnyShbXx/Y19WZl8ZTj6/VCyvRMmsiAb8aZFo9H0TOz0Rt24jXxVaqWVibrczIkDBiOFC80Hozn/Jyd891J/W/q6oajsXrC2+7gjouIkofDLbJMTvl40QF9da0GaezaatWKzO46vGc9yKQmyvrlikTCSoHD8TPJQLrt8nMFBtn+R4ZGzZKOL8/sLBEfzv1wqp06UHMmClWZk0kgFaDTDvng3p+zp4jY88e48epQZfowsq7pwB9eh7pCMMAACAASURBVFs/v5UmOcaz+XrcPNed1v+OH4vIPvmxMNDrCQEiIjMMtskVRu24tYjOeibrFrDTZheJj//FWbLt2TS7dcuNLnoGD4RmEGTUqjvenLlKeosqEmlYqSL+wmrFShn3TN3fKO9Xb/xWAmi754NozW016Nr7o9hsb0WlvQAtFlNqV9vhZrqD08A9fixOG/94ycsJASIiMwy2yTatALVXT/MvLSvNJZJxC9hoPJddav/xQwZpB7gqrdk0pznqWhc9atMbJ/bta/j/aqA9coRS7zm+c+BjT8iGC+wSx28lgHZyPmRkSBh3lYTOnRq/X4lBl9cXefNfsp5CArif7uAkcE9MGXLa+MdrVicEiIjcwmCbbLHbjc3qrK3Xt4DNxpOZeRBNmsi6X85Gj3+5GBg9Enj/A/HFjm7kqCfmgJetb5g64qblK4EJ19UfEzvjtxJAu3E+iARdXl7krVhpPLtuxO10ByedT+PHEpa1FVywSER+YLBNltlNc7A7a+vVLWCR8dw6uWE6RPwFhcjjF5YAU+8BolHjFtcqL3LUvcxnTwyg7IzfagDtxvlgFnR5dZFnd0GiV+kOdhaQZmUBd9wm2U4FIiJKNwy2yRInaQ5OZr/cuAWcmPYiUonDKO+4dWvz/amrA6ZOB2ZMV1pcm/EifcHrUmvxAZSTnGorAXQyUgK8uMizsiAxJweYOEFpZ+9luoPefurRap4U1LJ/RERBwGCbLHESMJfvEZs9U7bTrrhh9xawVtpL69b2ngtQOujdNFF8e9Fa4F6kL9hNFcjJASorzbeLD6DU19qzR78xit74rQbQyUgJcDuotzKze/styVu4F7+f5XtkPDEXqNynv33i+ZzM8npOFzMTESUbO0iSJU5uF4sEbla2E6XXIbG62v5zVlUB69aJby/aDlqkrbfV9AW7rcJvvdm8u2ViACXyWokt1eMpAbSEIYOUf4MQRLk5JtGZ3fHjkl+5Q93P3HaSYaANND6fRd73idc7D4pXrJQxYrSMGyfJuO9+5d8Ro4PXRZaIKB6DbbLEye3inByxx4puJ8JJ0w4zH6621mpd9EJFr613Xp5xq+5YTEbZehml7yv/xmL1+633nNlZSg6u1uucPyBiKfBXX//QYeDCC5rpPublYmDO3LpGY0wH6gywkdxcYOzv/LvIsHtBbdaOfs6TcBQU6100q6ldpUsP2n5uIiIvMY2ELHFyuzi3nQTA/Mt2+3agbL3syu1hp007jFRXK6XvRCtLWMlXtZq+IFIdRu85Af3XEc1bbvz6hwz3b2EJsLBEFqpgk0rMFiRKktKR0s8ZfScX1P37Sair027/braA2ojIRfPMh2ux4GX/SgsSEemRZNmoIm7qqaio8HsISReNRl3db71qJCq92ddYTLnlKxr82mmFnaj0feV2s5ms1kCVjbSSkSOAf76nvWgsXl4esOgVb4Iou++HFUZ5smavL8KNMQaV1rFTOoQ2voC5645W6NO71r/BQuxzqnc+O3mskbL1SsqImTmzJaFa/1TP7e+HdMHjZl+qHbtoNGq6DWe2yTK7VRqslhlzMhOmEp2lmz5N+bdomrVcbqPW5fG8agfttAmOKL3FiG6l6dgdY9AXy+nfcZBQUiw1Gnu7ds1RUeFvsO2k7KFX9bZZWpCIwiw0wXZtbS1KS0uxbNkybNmyBTt37kSzZs1w+umnY/To0SgsLPR7iGnFbpUGq2XGAGfBomjaS88eSvAw5XbxWdrEluVa3JidN+J3MxG30nTsjNFuY6VkMa9HH9zZfLsX1F4FxSwtSERhFppge+3atZg8eTJycnJw7rnn4oILLsDevXtRWlqKW2+9FevXr0dRUZHfw0wrdkuvxQfq68pkzHvReHsnwaJbDVO0mAXaAHD3FKBPb+8CKtGgZdVq2bXb6/GzyVu3upeFZiUAs9tYKVmSdcfBS3YuqL0KikUumo9tH0H3bmmVFUlEIRGaYDsvLw+PPPIILrroIjRt2vToz2+55RaMHDkSL730Ei699FJ06+ZCIVfynBqoKwGW+Rekk9vDThqmrFnXHG++eaBBKbS8PGBAP7EUkopKbwMp0aDlvaXAhOucLx7Tmk12i+i+hCGQ9fuOg1usXlB7VW9b5KJ5yuQWyMjwNwWHiEhLaILt008/Haeffnqjn7dr1w6jRo3CX/7yF6xZs4bBdsgk6/aw3YYpgwa2xB/GHWz0uA0blWoaXo/bTPduQE62cQMSQKld7jSwc2MhpB4rAVgYAtl0zTH2qs09YH7RPGSw//nuRERaQhNsG2nSRNmNjIwMn0dCViWz85zdtBetx3XvJidt3GZju2CILDTL7iSwc7IQcvw4ZdGp0RitBGBhCGTTOcfYizb38c/tZkdPIqJkCH2wHYvF8Nprr0GSJJx33nl+D4cs8nImzEtBGndBX8nzWXY7CyETg6vu3RqnoNgJwMIQyCbzIjKIGBQTEdULfbD9+OOP45tvvsHll1+OU0891XT77OxsRCLp1zhTpA6kXy67FGjZ8iAeergWu3bVrzo8tn0EUya3wJDBzX0cnf6xa9nyIID9uo9r2bIlolHvxz6gv4z27SsbHLt4kgS0z4tgQP8c28HOgYPG+6q69o+Z6NIlA7ntIujdq0mD17vsUmBooYx1ZUdQvqdOcxsR6v7u3l0HrS4BbuyvG+6echCTblOOWfw4pZ+HdNcdrdCuXePzI8ifVasGDRTbLhYTOy9Klzb+O9G+fQR3Tm6BIYNT69glE4+bPTxu9qXbsUt6U5v8/HxUVlYKbz9//nzk5+dr/m7BggW49957ceaZZ+Kll15Cy5YtTZ8vlQqpiwpLAfkg1kzWO3ZeNe+wy+vGNlabinh9ziWjkY8btBaUGs3m2zluWp8bIDyzyka1yOOPkdl7/tij/jcECqOwfD8EDY+bfal27ALZ1KawsBA1NTXC27dr107z54sXL8bUqVNx6qmn4rnnnhMKtCnY7OZU+yFoi/S8zJMF7KVFeHnx5GR/k3lR53U6hVagmpWl/Bvf1TRI9cfjiZZwZLt2IgqzpAfbbtTCLikpQVFREbp27Yp58+al3e0I8l8QF+l5GdiJ5KgPvRhYthxo20bGoUM/4f4HZeyLq5LidsBnZ3/9aITj1UWkXqAaH2SrglJ/PJ6VEo4iF7c/7KrDho3huWAnovQRupztkpIS3HPPPejSpQvmzZuHNm1ScDm/hiCmWKSzoC7S8/LugN5scnaWUin92eeB+prpjW/nexHwJe5vLCajbL2s+TkJeiMcK+xWh/G7/ng8K3eHgnhxS0QkKlTB9qJFi1BUVITOnTtj3rx5aNu2rd9DSoqgt6VOR+labSJxNvm77+Sfg2xx8QGfmxeRRp+Tgr4IfCMcK+xUhwH8rz8ez0oAHdSLWyIiEaEJtj/++GMUFRVBlmX06dMHr7zySqNtzjjjDAwePNiH0XknlWbjUkmQSv8lmzqbrCwStf54NeCrrnbvItLsczJ+XLBy7J1yMoMblNlfKwE027UTUZiFJtjeuXMn1MIpCxYs0Nxm2LBhKRVsh6EtdTrzelFi0NmdXQWAVau1G/FYvYiMxWSs/1zGzFnG2y1aLDauoASiZpzM4H73nQzA/3PTyt0htmsnojALTbA9fPhwDB8+3O9hJFXQKl5QY+ncvMNJYPpeqfHvRS4itdJG9GgtGtQSljQEkUBVz5tvAWN/53/VDqt3h9iunYjCKjTBdjrioqBwCFPJQjfZDUxbtgQq9xlvY3YRaVZzWUvr1krbeD1hyrEXCVT17C4PzgW61btD6XxxS0ThxWA7wLgoiILM7uzqby8SS+vQu4i0W4lj5AgYLuYMW469XqAqIkgX6FYD6HS9uCWi8GKwHWDpWvGCwsHO7OqVo4Fz8iUsWmz+GL2LSDu54nl5wNjfSejcKbVy7Av6KncK1n+u/H+rVsCTfzN/XNAu0BlAE1EqY7AdYOlc8YLCQW92NRIB6urq/z8nB7j1ZuD8ARHEYrKji0g7s7Lq56R/P2jOogLQrc8dVHqlDrOyjHPUeYFORJRcDLYDLt0rXlDwaaUB/LogBx+uqtQMXp1eRFqZldX6nCTOooaxjr1RqUMzvEAnIkouSVbr6aWJiooKv4dgi5PmH9FoNLT77TceO3tEjptWkCtyEanU9zbOU87KAqZPBXr2MA4szRZazpie3AtakeMmsv/ZWUDTZsCePfU/S/ULdH5W7eFxs4fHzb5UO3bRaNR0G85shwRzGinV2K0sITIzfsdtEvr0Nn6esNaxF8lZ31cFPPYoEIlIoUqNISJKRQy2icg3di8i3UivCmsde9Gc9YpKCUMGMbgmIvIbg20iOspJulKy2Z0ZV/dx+UqxDLoglckDWBKUiChsGGwTEYBwLhS0OjNupeukKmhBK0uCEhGFS8TvARCR/9SFgokBXHm5khu9QnAWOMj09tFIEINWJWfd+OKHFUeIiIKDwTZRmhNdKBiLhTfgttt1MqhBq5KzLiE3t+HP8/KSX0GFiIiMMY2EPBekPOAgjSUowrpQ0AqrXScjEeC+e4ObPgPYz1knIqLkYrBNngpSHnCQxhIkogsAg7ZQ0AqrY6+rA7Kzg39OsCQoEVHwMY2EDMViMsrWyyh9X/nXSipBkPKAgzSWoInmiO276HZBZGeRY5gvLoiIKDg4s+2xMKctOJkJDlLDkCCNhfwhUsEjUdCqkBARUThxZttDK1YqbZVvnCTjvvuVf0eMDscsqtOZYCt5wF4L0liCqKJS7AJDdLsgEqngES+IVUiIiCicGGx7JMxpC25UpwhSHnCQxhJE6dIkRa+Ch5agViEhIqLwYbDtgbCXUnNjJjhIAVyQxhJEaoqFkVSZ6e3fT0JJsYQ5syWMHAHkZDf8fWLpPCdrFoiIiADmbHsi7KXU3JgJttvlzoscd3bcM6akWCh3XPSk0kyvWsGjV08JE67TP99YvYaIiNzAmW0PhD1twY2ZYDtd7rzKcWfHPXPp2iRFCbwlDBmk/BsfaPuVBsbZdCKi1MKZbQ+EPW3BrZlgJYBDo9nBvDwluI0P4NTgJpEa3MyY7mw20cpY0lXQmqT4VcnHz+o1pUsPYsZMzqYTEaUSBtseCHvagptpBSIBXLKCm6AFk0EUlCYpfqZw+JUGtmKljHum7oec8FFw64KTiIj8wTQSD6RC2oKbaQV6t+pVySzNZzYW8p/flXz8SANTLzgTA+14QV5UTURE+jiz7ZFUSFtI1kxw2HPcyT1BaEDkRxpY2BdVExGRPgbbHkqFtIVkpBWEPced3BOEoNOPNDBecBIRpS4G2x4LSg5skIU9xz3M/FqEqMdO0On2PvhRClH0QnLrVhll6/1/n4iISByDbfJdutV5Doog1pG2epfDq31IdhqYesG5Zw8M87bnvQjMe1H2/X0iIiJxkiwb/WlPPRUVFX4PIemi0Wgo9lsrcPI7xz0sx84qvVKLKqe1te0et1hMqa1udpdj0SsSVq02vkBzoz54Mmf+lWokxoskE6VyDXSrUvWz6jUeN3t43OxLtWMXjUZNt2GwnQbCdGIHLa0hTMdOlJWA1u6xTzxuVt5XkQuBgr7wfB/8sHZdC8yYud80b10Vxn30Sip+VpOBx80eHjf7Uu3YiQTbTCOhQGGOu/eSvQjRaqqHSApH2XrjQNvtfUiWIYObo2ePGmzYCKwrkzHvRePtw7iPRETphsE2UZpJZuULu51BzSr5pHL1DvWCUxm7+Y3HMO4jEVE6YbBNKStoKSlBkaxSi05rZhvd5UiHcpFB20d+noiI7GGwTSkpiJU2giJZpRa9TFdJh3KRQdpHfp6IiOxju3ZKOX63+w46pdSicYDkRqlFL1M9krUPfgrKPvLzRETkTKiC7aeffhpXX301+vfvj27duiE/Px/Dhw/H888/j59++snv4VEAiKYuxGLpHSAoixAl5OY2/Hlennvl5LxOg0jGPvjN733k54mIyLlQpZEUFxcjGo3ivPPOQ9u2bVFbW4vPPvsMM2fOxGuvvYbi4mJkZmb6PUzyURDafYeF2SJEp5KRBuH1PgSBn/vIzxMRkXOhCrbfffddNG/evNHPJ0+ejNdffx1LlizBmDFjfBgZBUUqV6nwgpelFpPVGTQdykX6tY/8PBEROReqNBKtQBsALrzwQgDAtm3bkjkcCqCgVXBId36nQZAz/DwRETkXqpltPStWrAAAnHLKKT6PhPwWpAoOqchO+bd0SPVIVfw8ERE5F8pg+4UXXkB1dTWqqqpQVlaGTZs2oaCgAJdddpnfQyOfJSt1IR05Kf+WDqkeqYifJyIi5yRZlkO3jHzgwIHYsWPH0f+/5JJLMG3aNLRs2dL0sXV1dYhEQpU9QzaULj2Ihx6uxa5ddUd/dmz7CKZMboEhg7XTkUhf6dKDmHTbfiT+tZB+jrFmP9KKxzWF8fNERGRf0oPt/Px8VFZWCm8/f/585Ofna/6uvLwcn376KWbNmoVWrVrh2WefxbHHHmv4fBUVFZbGmwqi0Wha7rcbHe/S9djFi8VkjBjduM5yvLw8YNEr9TOcPG72BPm4Bb2DZJCPXZDxuNnD42Zfqh27aDRquk3S00gKCwtRU1MjvH27du10f5ebm4vCwkKceOKJuOKKKzBz5kw89thjbgyTUgBTF9zB8m8E8PNERGRX0oPtoqIi15+zW7duyM7Oxmeffeb6cxOlO5Z/IyIisi+UCyQT1dTUoLq62nAWnIjExacM/PijWKYZy78RERE1Fppge8eOHZBlGR07dmzw88OHD+PBBx9EXV0d+vXr59PoiFKHVtWRSASoq9N/DMu/ERERaQtNsL1582ZMnDgRffr0wUknnYRoNIo9e/bg448/xs6dO9GpUydMmjTJ72EShdqKlbJmmTejQBtg+TciIiI9oQm2zzzzTIwdOxZr1qxBaWkpqqur0aJFC3Tp0gVjxozBmDFj0KJFC7+HSRRasZgyo20kcYY7L08JtNkJkoiISFtogu3jjz8ed955p9/DIEpZIlVH6uqAiROANm2kQJZ/IyIiCprQBNtE5C3RaiJt2kgYMogBNhERkQi2UiQiAOLVRFh1hIiISByDbSICoKSE5OYab8OqI0RERNYw2CYiAEru9c0TjdNDWHWEiIjIGgbbRHRU/34SZkyXGs1w5+UBM6az6ggREZFVXCBJRA307yehoC+OdpBk1REiIiL7GGwTUSMZGRJ69dT/fXw7dwbjRERE+hhsE5ElWu3cc3OBmyeCaSZEREQJmLNNRMLUdu6JzW/Ky4G775WxYqVxB0oiIqJ0w2CbiISItHN/fK6MWIwBNxERkYrBNhEJEWnnvnu3sh0REREpGGwTkRDRdu6i2xEREaUDBttEJITt3ImIiKxjsE1EQtjOnYiIyDoG20QkhO3ciYiIrGOwTUTC2M6diIjIGja1ISJL2M6diIhIHINtIrLMrJ07ERERKZhGQkRERETkEQbbREREREQeYbBNREREROQRBttERERERB5hsE1ERERE5BEG20REREREHmGwTURERETkEQbbREREREQeYbBNREREROQRBttERERERB5hsE1ERERE5BEG20REREREHmGwTURERETkEUmWZdnvQRARERERpSLObBMREREReYTBNhERERGRRxhsExERERF5hME2EREREZFHGGwTEREREXmkid8DoOR6+umn8cknn+Dbb79FRUUFMjMz0aFDBwwdOhSjR49GZmam30MMnNraWpSWlmLZsmXYsmULdu7ciWbNmuH000/H6NGjUVhY6PcQA23NmjVYtmwZNm3ahK+++gr79+/HsGHDMHPmTL+HFggbN27EE088gc8//xyHDx9G165dcdVVV2Ho0KF+Dy3QXn/9daxbtw6bNm3CN998g8OHD+Ohhx7C8OHD/R5aYO3atQvvvvsuVq5cif/85z/Ys2cPsrOz0atXL/zhD39A9+7d/R5iYFVVVWHOnDn44osv8N1332Hfvn2IRqPo1KkTxowZgwsuuACSJPk9zFB45pln8MgjjwAAFixYgB49evg8Iu8x2E4zxcXFiEajOO+889C2bVvU1tbis88+w8yZM/Haa6+huLiYAXeCtWvXYvLkycjJycG5556LCy64AHv37kVpaSluvfVWrF+/HkVFRX4PM7AWL16MV199FZmZmTjuuOOwf/9+v4cUGJ9++inGjx+Ppk2b4uKLL0br1q3x3nvv4bbbbsOOHTvwpz/9ye8hBtbjjz+OHTt2IBqNIi8vDzt27PB7SIH34osv4plnnsGJJ5549Dtg27ZtWLp0KZYuXYpHH30Uv/3tb/0eZiBVVFRg8eLF6N69OwYNGoScnBzs3bsXH3zwAW688UaMHDkS999/v9/DDLxvv/0Wc+bMQYsWLVBbW+v3cJKGdbbTzMGDB9G8efNGP588eTJef/113HvvvRgzZowPIwuuLVu24P/+7/9w0UUXoWnTpkd/vmfPHowcORI7duzAokWL0K1bNx9HGVxffPEFjjnmGHTu3BlffPEFRo0axZltAEeOHMFvfvMb/PDDD1iwYAHOPPNMAMD+/fsxevRo/Pe//8Xbb7+Nk08+2d+BBtRHH32Ek046CR06dMDTTz+NRx99lDPbJt577z20adMGffr0afDztWvX4n//93/RsmVLfPjhh2jWrJlPIwyuWCwGWZbRpEnDOcr9+/dj1KhR+Pe//4233noLp5xyik8jDL5YLIZRo0ZBkiScfPLJeOONN9JmZps522lGK9AGgAsvvBAAsG3btmQOJxROP/10DB06tEGgDQDt2rXDqFGjACipEqTtl7/8JU455RRkZGT4PZRA+eSTT7B9+3YUFhYeDbQBoFWrVrj++utx5MgRLFmyxMcRBtt5552HDh06+D2MULngggsaBdoA0KdPH+Tn56OyshJff/21DyMLvoyMjEaBNqB8XgsKCgDw+9PMM888gy1btuDBBx9Mu+8DBtsEAFixYgUA8KrcIvWPb7r94SDnPvvsMwA4+kUdr2/fvg22IfKa+rdMK6AkfQcPHsQnn3wCSZLQtWtXv4cTWN988w3mzp2L6667Li3jDH6q0tQLL7yA6upqVFVVoaysDJs2bUJBQQEuu+wyv4cWGrFYDK+99hokScJ5553n93AoZLZu3QoAOOmkkxr9Ljs7G9FolDNllBTff/89PvroI+Tm5uLUU0/1eziBVlVVhXnz5qGurg579+7FypUrsXPnTtxwww1M+dJx5MgRTJkyBV26dME111zj93B8wWA7Tc2fP7/BgqJLLrkE06ZNa5QqQfoef/xxfPPNN7j88sv5BUWWqQtFW7durfn7Vq1a4YcffkjmkCgNHT58GJMnT8ahQ4dw22238S6diaqqKsydO/fo/zdt2hSTJ0/G1Vdf7eOogu2pp57C119/jYULF6ZtjMFgO4TU3DpR8+fPR35+foOfLVu2DABQXl6OTz/9FLNmzcLIkSPx7LPP4thjj3V1vEHhxnFTLViwAH//+99x5pln4u6773ZriIHl5rEjomCoq6vDXXfdhTVr1mDkyJG8symgY8eO+PrrrxGLxbBz50688847mD17NtavX4/HHnuMaTgJtmzZgqeeegpXX301zjrrLL+H4xueFSFUWFiImpoa4e3btWun+7vc3FwUFhbixBNPxBVXXIGZM2fisccec2OYgePWcVu8eDGmTp2KU089Fc899xxatmzp1hADy81zjhStWrUCAFRXV2v+fv/+/bqz3kROybKMe+65B2+88QYuueQS3HfffX4PKVQyMjLQsWNHXHPNNYhEIpg1axYWLlyIK6+80u+hBcodd9yBE044ARMnTvR7KL5isB1CXtR07tatG7Kzs1N6QZYbx62kpARFRUXo2rUr5s2bh2g06sLIgo91xN2n5ndu27YNv/jFLxr8bt++faioqEDPnj19GBmlurq6Otx9991YsmQJCgsLMXPmTEQirJdgV0FBAWbNmoXPPvuMwXaCLVu2AFCqUmlRK3o9+eSTGDx4cNLGlWwMtgkAUFNTg+rqas5IGigpKcE999yDLl26YN68eWjTpo3fQ6IQO/vss/H3v/8dq1atwsUXX9zgd6tXrwYA/OpXv/JjaJTC4gPt3/72t3j44YeZp+3Qrl27ALAqlZYRI0Zo/nzt2rXYunUrBg4ciDZt2qR8GU8G22lkx44dkGUZHTt2bPDzw4cP48EHH0RdXR369evn0+iCbdGiRSgqKkLnzp0xb948tG3b1u8hUcide+65OOGEE/DWW29h7NixOOOMMwAo6SN//etf0aRJEwwbNsznUVIqiQ+0L7roIsyaNYsBoqDNmzejY8eOjVK7KisrMXv2bADg96eGGTNmaP58ypQp2Lp1K6699tq0aGrDYDuNbN68GRMnTkSfPn1w0kknIRqNYs+ePfj444+xc+dOdOrUCZMmTfJ7mIHz8ccfo6ioCLIso0+fPnjllVcabXPGGWek9C0wJ9auXYuSkhIAwI8//ggAWLduHaZMmQIA6Ny5c1qWg2rSpAkeeOAB/OEPf8CVV16JwsJCtGrVCu+99x6+++473HzzzejUqZPfwwysRYsWYd26dQCUGr7qz9RUuMGDB/MzmeDJJ5/EkiVL0KJFC5x88sn429/+1mibwYMHH73wo3pLlixBSUkJ8vPzcfzxxyMzMxPff/89li9fjtraWlx44YUYOnSo38OkgGKwnUbOPPNMjB07FmvWrEFpaSmqq6vRokULdOnSBWPGjMGYMWPQokULv4cZODt37oQsywCUKiRahg0bxi92Hdu3b8err77a6Gfbt28HoKRKpGOwDQDnnHMOXn75ZcyZMwfvvvsuDh8+jK5du+Kmm27CJZdc4vfwAm3dunWNzquysjKUlZUBADp06MDPZAK13GttbS2eeuopzW06dOjAYFvDhRdeiP379+Pzzz/HmjVrcODAAWRnZ6N379647LLLcPHFF0OS5jw1sQAABDFJREFUJL+HSQElyWoUQUREREREruLyYyIiIiIijzDYJiIiIiLyCINtIiIiIiKPMNgmIiIiIvIIg20iIiIiIo8w2CYiIiIi8giDbSIiIiIijzDYJiIiIiLyCINtIiIiIiKPMNgmIiIiIvIIg20iIiIiIo8w2CYiCrFFixbhtNNOw7Rp03S3ufbaa3Haaafho48+St7AiIgIAINtIqJQ69mzJwBg48aNmr9fsWIFli9fjsGDB+O8885L5tCIiAiAJMuy7PcgiIjIHlmWkZ+fj5qaGpSVlaF58+ZHf3fo0CEMHToU33//Pd555x2ccMIJPo6UiCg9cWabiCjEJElC9+7dceTIEXz55ZcNfvfCCy9g69atuPrqqxloExH5hME2EVHI9ejRA0DDVJJdu3bhb3/7G9q3b49rr73Wr6EREaU9BttERCHXq1cvAA2D7VmzZqG2tha33347WrRo0WD7F154AQMHDvRkLGvWrMF1112H888/H6eddhqeeOIJT16HiCgsGGwTEYVct27dkJGRgQ0bNgAA1q1bhzfffBO9evXC0KFDG22/YcOGo7PhbqutrUXXrl1x++23Izc315PXICIKkyZ+D4CIiJxp2bIlTj31VGzevBl79uzBAw88gEgkgnvuuafBdrIso3fv3qipqQEAvP322wCATz75BNFo1JWx9O/fH/379wcAPPLII648JxFRmHFmm4goBagz1UVFRfjqq68wYsQInHXWWY22e+211yBJEmbPno1Vq1Zh9erVrgXaRETUGGe2iYhSQM+ePfHKK69g2bJlyMrKwqRJkxptI0kSysvLIcsyzjnnHLRp00bzuSorK7Fv3z7D12vVqhXatm3rytiJiFIZg20iohSgLpIEgBtuuEE3kP7qq6/QoUMH3d8DwIsvvoi5c+cavt6wYcMwc+ZMe4MlIkojDLaJiFJAbW0tAKBLly4YM2aM7nZffvmlZnpJvAkTJuC6664z3CYSYRYiEZEIBttERClg1qxZAIC7774bTZro/2nfvHkzLrzwQsPnikQiDKaJiFzCYJuIKOQWLVqEDz/8EBdffDH69u1ruG0sFsO2bdvwww8/oFmzZobpJHbU1NRg+/btAJR28eXl5di8eTOaNm2Krl27uvpaRERhIMmyLPs9CCIisubbb7/Fc889h507d+Kjjz7C8ccfjyVLliAnJ8fwce+//z4eeugh7NixA926dcOCBQtcHdenn36KsWPHNvp5hw4dsGzZMldfi4goDBhsExGF0D/+8Q9Mnz4drVu3xtlnn40777wTJ554ot/DIiKiBAy2iYiIiIg8whUwREREREQeYbBNREREROQRBttERERERB5hsE1ERERE5BEG20REREREHmGwTURERETkEQbbREREREQeYbBNREREROQRBttERERERB5hsE1ERERE5JH/DyZWGX8wnvDHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y[:-1], y[1:], 'o');\n",
    "plt.xlabel('$y_{t-1}$')\n",
    "plt.ylabel('$y_t$', rotation=0);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the plot above, we can immediately see that both variables are positively correlated. What does this really tells us about our model? Let's find out."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.3 Autocorrelation function\n",
    "\n",
    "Now we are going to generalize the autocorrelation function or ACF (see more here [[3]](https://www.real-statistics.com/time-series-analysis/stochastic-processes/autocorrelation-function/)). The ACF at lag $k$ of a stationary stochastic process is defined as $\\mathrm{cov}(Y_i, Y_{i+k})$ for any $i$ divided by the variance of the stochastic process.\n",
    "\n",
    "Using the equation above we can say that the autocorrelation function at lag k, for k $\\geq$ 0, is defined by\n",
    "\n",
    "$$\\mathrm{ACF}(Y_t, Y_{t-k}) = \\frac{ \\mathbb E\\big[(Y_t-\\mu_t)(Y_{t-k}-\\mu_{t-k})\\big]}{\\sigma_t \\sigma_{t-k}}$$\n",
    "\n",
    "Let's build our own ACF."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def correlation(x, y):\n",
    "    return np.mean((x - x.mean()) * (y - y.mean())) / (x.std() * y.std())\n",
    "\n",
    "def acf_calc(y, lag=40):\n",
    "    return np.array([1] + [correlation(y[:-i], y[i:]) for i in range(1, lag)])\n",
    "\n",
    "def acf_plot(y, alpha=0.05, lag=40):\n",
    "    acf_val = acf_calc(y, lag)\n",
    "    plt.vlines(np.arange(lag), 0, acf_val)\n",
    "    plt.scatter(np.arange(lag), acf_val, marker='o')\n",
    "    plt.xlabel('lag')\n",
    "    plt.ylabel('autocorrelation')\n",
    "\n",
    "acf_plot(y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see the autocorrelations and they seem high for some lags, but how high? We need a lower and an upper bound to be able to answer that question. If we assume that the time-series is Gaussian and if the autocorrelation is higher or lower than these upper or lower bounds, respectively, the null hypothesis is rejected. It states that there is no autocorrelation at and beyond a given lag at a significance level of α (here we are doing hypothesis tests and throwing accepted but somewhat random values of significance — not so Bayesian). Our upper and lower bounds can be computed using\n",
    "\n",
    "$$B = \\pm z_{1-\\alpha/2}SE(r_k)$$\n",
    "\n",
    "where we will use $\\alpha = 5$%, SE is the standard error and $r_k$ is the estimated autocorrelation at lag k. SE can be calculated using Barlett's formula\n",
    "\n",
    "$$SE(r_k) = \\sqrt{\\frac{1+2\\sum^{h-1}_{i=1}r_i^2}{n}} \\quad\\mathrm{\\;for} \\;h > 1$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "def standard_error(acf_values, n):\n",
    "    se = np.zeros(len(acf_values) - 1)\n",
    "    se[0] = 1 / np.sqrt(n)\n",
    "    se[1:] = np.sqrt((1 + 2 * np.cumsum(acf_values[1:-1]**2)) / n )\n",
    "    return se\n",
    "\n",
    "def acf_plot(y, alpha=0.05, lag=40):\n",
    "    acf_values = acf_calc(y, lag)\n",
    "    plt.vlines(np.arange(lag), 0, acf_values)\n",
    "    plt.scatter(np.arange(lag), acf_values, marker='o')\n",
    "    ci = stats.norm.ppf(1 - alpha / 2.) * standard_error(acf_values, len(y))\n",
    "    plt.fill_between(np.arange(1, ci.shape[0] + 1), -ci, ci, color='blue', alpha=0.2)\n",
    "    plt.xlabel('lag')\n",
    "    plt.ylabel('autocorrelation')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dzlqX+cvPz9fWrVuVnJxs6RiZmZnKyMjQnj17VFJSopSUFI0fP14jRoxoVD0ul0uvv/661q1bpyNHjigyMlJJSUm69tprNWXKFEttAwAAAOpjeWR71KhROnXqlO677z5t37692v5t27ZpwoQJcrlcGj16dKPr37Ztm8aMGaOdO3fqhhtu0N133y2n06kZM2bolVdeaXA9P/zwg0aNGqUFCxYoISFBY8eO1ahRo5SQkKB//OMfjW4XAAAA0FCGaZqmlTuWlZXpN7/5jTZu3CjDMBQfH6/ExEQZhqGjR4/qp59+kmmaGjJkiF5++WWFhTU815eWluqmm27S8ePHtWzZMqWmpkpyj1DfddddOnTokD766CN17ty53jbeeeed+v777/Xqq69qwIAB1Y4TEVH74L7T6Wxwm72hsLBQSUlJkqQjR46odevWPj0+fMfhcPj88QXfo59DA/0cGujn4FdTH3vjIo2WR7bDw8P1yiuvaObMmbrggguUl5enPXv26IsvvlBeXp46dOigmTNnNjpoS9LWrVt1+PBhDR8+vCJoS1JMTIwmTZqk0tJSrVq1qt56/vGPf2jv3r2aMGFCtaAtqc6gDQAAADRVk9JmWFiYJkyYoAkTJujYsWPKzc2VJCUkJKhDhw6W6/VMSxk8eHC1fYMGDapSpi5r1qyRJN144406duyYPvvsM506dUpJSUm66qqrGDkGAACArbw2tNuhQ4cmBezKsrKyJEmdOnWqti8uLk4Oh0PZ2dn11vPVV19Jknbt2qVnnnlGxcXFFfvatm2rF198Uf379/dKmwEAAIBz+eU8CpfLJUmKjY2tcX9MTIyOHz9ebz0nTpyQJM2ePVsTJkzQ2LFjFRUVpY8++khz5szR5MmTtWbNGiUkJNR4/7i4uEZPgWmKqKioitsOh4OR9yDnjXlg8H/0c2ign0MD/Rz87OjjBoftxx57TIZh6He/+53i4+P12GOPNfgghmHo6aefttTApvCc+3n11VdrxowZFdvHjRunH3/8UQsXLtRf//pXTZo0qcb7FxQU+KSdHoWFhRW3nU5nlZF4BBdOtAkN9HNooJ9DA/0c/Ow6QbLBYXv16tUyDEMPPvig4uPjtXr16gYfpLFhOyYmRpJ06tSpGve7XK5aR73PrcfpdOqaa66ptm/o0KFauHBhxVQTAAAAwNsaHLbffvttSVLHjh2r/GwHz5J+2dnZ6t69e5V9BQUFcjqd6t27d731JCcny+l0qk2bNtX2ebb98ssvTW8wAAAAUIMGh+1+/frV+bM39e3bV6+++qo2bdqkYcOGVdm3efPmBh9/wIAB2r17tw4cOKDrr7++yr4DBw5IkhITE73UagAAAKAqy2f/7dixQ4cOHaq3XFZWlnbs2NGougcOHKikpCR9+OGH2r9/f8V2l8ulBQsWKCIiQqNGjarYnp+fr4MHDyo/P79KPaNHj1ZUVJTeeecd/fjjj1XqefXVVyVJN910U6PaBgAAADSU5bA9btw4LVy4sN5yixYt0j333NOouiMiIjR79myZpqkxY8boD3/4g+bMmaNbbrlF33//vaZMmaLk5OSK8kuWLNHNN9+sJUuWVKknKSlJM2fO1IkTJzRy5Eg9/vjjmjVrlkaOHKn9+/frzjvv1MCBAxvVNgAAAKChmrT0X0Ou9G7xavAaMGCAli5dqnnz5mnt2rUqKSlRSkqKpk6dqpEjRza4nnHjxikxMVH/+7//q48++khlZWVKSUnRxIkTdccdd1hqGwAAANAQtq+znZubq+joaEv37dGjhxYtWlRvufT0dKWnp9e6/5prrqlxRRIAAADATo0K2++9916Vnw8fPlxtm0dpaakOHTqkLVu2qGfPntZbCAAAAASoRoXtRx99VIZhSHKvnb17927t3r271vKmaapFixaaPHly01oJAAAABKBGhe3JkyfLMAyZpqmXXnpJl112ma699toay0ZGRiohIUGDBg2q9XLoAAAAQDBrVNiuPC969erVGjhwoKZMmeL1RgEAAADBwPIJkp9++qk32wEAAAAEHcvrbAMAAACoW5OX/tu5c6c++eQTZWdnq7CwsMZ1tQ3D0FtvvdXUQwEAAAABxXLYNk1T//mf/6n33nuvImB7Tp708PzsWcEEAAAACCWWp5G8++67Wr16tbp166Y33nhD119/vSTp73//uxYuXKhRo0YpLCxM999/v9avX++1BgMAAACBwvLI9urVq9WqVSstXLhQDodDH3zwgSSpc+fO6ty5s6688koNGTJE06dPV+/evZWYmOi1RgMAAACBwPLI9sGDB9W7d285HI4q28vKyipu33jjjerWrZtef/116y0EAAAAApTlsG2aZpWg3apVK0lSQUFBlXKdOnXSd999Z/UwAAAAQMCyHLYTEhJ0/Pjxip87duwoSdq/f3+VcllZWQoPD7d6GAAAACBgWQ7b3bp104EDB1RaWipJGjx4sEzT1HPPPaeDBw/K5XJp0aJF2rdvn1JTU73WYAAAACBQWD5B8pprrtGaNWv02Wef6brrrlPXrl01bNgwffTRRxo+fPjZA0REaPr06V5pLAAAABBILIft4cOH6/rrr68yReTZZ59Vly5dtH79ehUUFCg5OVkPPPCAevTo4ZXGAgAAAIGkSVeQjIqKqvJzZGSkHnroIT300ENNahQAAAAQDCzP2QYAAABQN8I2AAAAYJMGTyO59tprLR/EMAwu2Q4AAICQ0+CwnZOTY2c7AAAAgKDT4LD9zTff2NkO+EBZmakvM6UT+VK7tlLPHlJ4uNHczQIAAAhaTVqNBIFjw0ZTL2aYyss7u619e2laujTkKgI3AACAHThBMgRs2Gjq909UDdqSlJcn/f4JUxs2ms3TMAAAgCDX5JHt7777TitWrNDevXvldDp17bXXaubMmZKkXbt2ad++fRo5cqTOO++8JjcWjVdW5h7Rrsvc+aYGD2JKCQAAgLc1KWwvXLhQc+fOVWlpqST3qiNOp7Ni/5kzZ/TMM88oKipKd911V9NaCku+zFS1Ee1z5ea6y6X19k2bAAAAQoXlaSTr16/X888/r44dO+qll17Sli1bZJpVR1CvuOIKORwOlv1rRifyz94uLy/U15nx+jozXuXlhbWWAwAAgHdYHtl+6623FB0drddff10XXnhhjWUMw1BycrKysrKsHgZN1K6td8sBAACg4SyPbH/99dfq3bt3rUHb4/zzz1deffMYYJuePdyrjtQlIcFdDgAAAN5lOWyXlZWpZcuW9ZbLz89XZGSk1cOgicLDDU1Lr/vEx6lTDE6OBAAAsIHlsJ2UlKR9+/aprKys1jJFRUXav3+/UlJSrB4GXjDkKkNPzTIUH191e0KC9NQsg3W2AQAAbGI5bN9www06fvy45s6dW2uZuXPn6uTJk7rpppusHgZeMuQqQ++8eTZU/+lZQyveJWgDAADYyfIJkhMmTNDatWu1cOFC7dq1S9dcc40k6ejRo3rnnXe0fv16bd26VV27dtXdd9/ttQbDuspTRXr1ZOoIAACA3SyH7ejoaL399tt69NFH9fnnn2v37t2SpB07dmjnzp0yTVMDBw7Un//8Z0VFRXmtwQAAAECgaNJFbdq1a6eFCxfqm2++0ebNm5WTk6OysjJdcMEFuuKKK9SzZ09vtRMAAAAIOJbD9pQpU9S+fXs9+eST6tq1q7p27erNdgEAAAABz/IJkhs2bNDPP//szbYAAAAAQcVy2L7wwgt1+vRpb7YFAAAACCqWw/awYcO0fft2rg4JAAAA1MJy2H744YfVp08fjR07Vh9//LFKSkq82S4AAAAg4Fk+QfLGG2+UaZo6duyYfvvb38owDLVt21YtWrSoVtYwDK1fv75JDQUAAAACjeWwnZOTU+Vn0zT1008/NblBAAAAQLCwHLa/+eYbb7YDAAAACDqW52y//fbbWrFihTfbAgAAAAQVy2F7zpw5+vTTT73ZFgAAACCoWA7b8fHxNZ4MCQAAAMDNctgePHiwdu3apeLiYm+2BwAAAAgalsP29OnTFR4erhkzZig3N9ebbQIAAACCguXVSJ5//nl17dpVH3/8sTZs2KDU1FR17NhRUVFR1coahqGnn366SQ0FAAAAAo3lsL169eqK27/88ou++OILffHFFzWWJWwDAAAgFFkO22+//bY32wEAAAAEHcthu1+/ft5sBwAAABB0LJ8gCQAAAKBulke2PUpKSvTxxx9r165dys3NlWEYat++vS6//HL9+te/VmRkpDfaCQAAAAScJoXtXbt2acaMGTp+/LhM06yyb+nSperQoYP+/Oc/Ky0trUmNBAAAAAKR5bB96NAhPfjggyoqKlK3bt00cuRIJSYmSpJ++OEHffDBB/rqq6/04IMPauXKlercubO32gwAAAAEBMth+5VXXlFRUZEee+wxjR8/vtr+e+65R2+//baefvppvfLKK3r22WcbfYzMzExlZGRoz549KikpUUpKisaPH68RI0ZYanNJSYluu+02ffPNN0pOTtbf//53S/UAAAAADWH5BMktW7YoNTW1xqDtcc899yg1NVX//Oc/G13/tm3bNGbMGO3cuVM33HCD7r77bjmdTs2YMUOvvPKKpTYvWLBAhw8ftnRfAAAAoLEsh+38/HwlJyfXWy45OVlOp7NRdZeWlurxxx+XYRhasmSJZs+erUceeUTvv/++LrnkEmVkZCgrK6tRde7bt0+vvfaafve73zXqfgAAAIBVlsP2eeed16DAm5WVpbi4uEbVvXXrVh0+fFjDhw9XampqxfaYmBhNmjRJpaWlWrVqVYPrKy4u1qOPPqqePXtq7NixjWoLAAAAYJXlsN2/f399/fXXWr58ea1lli9frn379mnAgAGNqnv79u2SpMGDB1fbN2jQoCplGmL+/PnKzs7WU089JcMwGtUWAAAAwCrLJ0hOmjRJn3zyiZ588kn97W9/04gRI5SYmCjDMHT06FH97W9/086dO9WqVSv95je/aVTdnhHzTp06VdsXFxcnh8Oh7OzsBtWVmZmpRYsWafr06Q2a9gIAAAB4i+Ww/atf/Uovv/yyZsyYoR07dmjnzp1V9pumqfj4eP3pT3/Sr371q0bV7XK5JEmxsbE17o+JidHx48frrae4uFiPPfaYLrvsMk2YMKFRbZDcwT4szHcX2YyKiqq47XA41Lp164CqH43jcDiauwnwAfo5NNDPoYF+Dn529HGTLmozcOBArV+/XmvXrtXOnTuVm5srSUpISFCfPn100003qVWrVl5pqBUvvviisrOztXLlSoWHhzf6/gUFBTa0qnaFhYUVt51Op4qLiwOqfjScw+Fo9InDCDz0c2ign0MD/Rz8aupjb4TvJl+uvVWrVho9erRGjx7d5MZ4xMTESJJOnTpV436Xy1XrqLfHvn379Oabb2rSpEnq0qWL19oGAAAANJTv5kg0gudqkzXNyy4oKJDT6axxPndl3377rcrKypSRkaEuXbpU+ZLcV8Ds0qWL+vTp4/X2AwAAAFITwvYHH3yga6+9Vps3b661zKZNm3TttddqzZo1jaq7b9++Ffc/l+d4/fr1q7OOzp0767bbbqvxS3LPB7/tttt06623NqptAAAAQENZnkby/vvv6/Tp0+rfv3+tZQYMGKCioiKtXr1aN998c4PrHjhwoJKSkvThhx/qnnvu0WWXXSbJPX1kwYIFioiI0KhRoyrK5+fny+l0yuFwqG3btpKktLQ0paWl1Vj/X//6V8XHx+upp55qcJsAAACAxrI8sv3999+rS5cuioioPa9HRESoa9eu+v777xtVd0REhGbPni3TNDVmzBj94Q9/0Jw5c3TLLbfo+++/15QpU6os47dkyRLdfPPNWrJkidVfBwAAAPA6yyPbTqezYhS5Lm3btq22LGBDDBgwQEuXLtW8efO0du1alZSUKCUlRVOnTtXIkSOtNBkAAADwKcth+7zzztORI0fqLXfkyBG1adPG0jF69OihRYsW1VsuPT1d6enpDa7322+/tdQeAAAAoDEsTyNJS0vT3r176xy13rlzpzIzM9W7d2+rhwEAAAACluWwfe+990qSfvOb3+jNN99UUVFRxb6ioiK9+eabmjx5sgzDqCgLAAAAhBLL00h69/i9Zi8AACAASURBVO6tRx55RHPmzKn4ateunSTpxIkTFeVmzpzJWtYAAAAISU26guS9996rbt266bXXXtOOHTv0008/SZJatmypfv366cEHH6xYMxsAAAAINU2+XHvfvn3Vt29flZeXV1xP3uFwKCzMLy9OCQAAAPhMk8O2R1hYWMU0EgAAAABeCtuZmZnauXOncnNzZRiG2rdvrz59+qhHjx7eqB4AAAAISE0K24cOHdIjjzyivXv3SpJM05QkGYYhyb1O9pw5c9S5c+emtRIAAAAIQJbDdm5ursaNG6effvpJCQkJuvHGG5WYmChJ+uGHH/T3v/9dX375pcaNG6eVK1cqISHBa40GAAAAAoHlsP3yyy/rp59+0r333qvf/e53ioqKqrJ/xowZeuGFF/TGG2/o1Vdf1R/+8IcmNxYAAAAIJJaXDNmwYYOSk5P16KOPVgvakhQZGamZM2cqOTlZ/+///b8mNRIAAAAIRJbDdl5enlJTU+ssYxiGUlNTlZeXZ/UwAAAAQMCyHLZjYmJ0/PjxessdP35cMTExVg8DAAAABCzLYbtXr1764osvtGHDhlrLbNiwQbt371bv3r2tHgYAAAAIWJZPkHzooYe0ceNGTZ48WSNGjNDw4cOVmJgowzB09OhR/e1vf9OHH36o8PBwPfTQQ95sMwAAABAQLIft3r176+mnn9aTTz6p1atX67333quy3zRNtWzZUrNmzVKvXr2a3FAAAAAg0DTpoja33HKL+vfvr+XLl2vXrl3Kzc2VJCUkJKhPnz667bbb1KFDB680FAAAAAg0Tb5c+wUXXKDf/va33mgLAAAAEFQsnyA5f/58ffLJJ/WW+/TTTzV//nyrhwEAAAACVpPC9vr16+st9+mnn+qll16yehgAAAAgYFkO2w1VVlamsDDbDwMAAAD4HdtT8IEDB9SmTRu7DwMAAAD4nUadIPnYY49V+Xn37t3VtnmUlZXp0KFD+uqrr3TddddZbyEAAAAQoBoVtlevXl1x2zAMZWdnKzs7u877dOnSRTNnzrTWOgAAACCANSpsv/3225LcF6wZP368rrzySj344IM1lo2MjFRCQoISExOb3koAAAAgADUqbPfr16/i9qhRo3T55ZdX2QYAAADgLMsXtXnmmWe82Q4AAAAg6LAmHwAAAGATyyPbl112WYPLGoahr7/+2uqhAAAAgIBkOWx36NChxu2maSovL0+lpaWSpI4dO1o9BAAAABDQLIftTz/9tNZ95eXl2rJli2bPnq2uXbvqhRdesHoYAAAAIGDZMmc7LCxMgwYN0muvvabPPvtMCxcutOMwAAAAgF+z9QTJpKQk9ezZUytXrrTzMAAAAIBfsn01klatWunYsWN2HwYAAADwO7aG7ZycHO3cuVPx8fF2HgYAAADwS5ZPkHzvvfdq3VdYWKisrCx98MEHcrlcGjNmjNXDAAAAAAHLcth+9NFHZRhGrftN05Qk3XrrrUpPT7d6GAAAACBgWQ7bkydPrjVsR0ZGqn379urbt6+SkpIsNw6BpazM1JeZ0ol8qV1bqWcPKTy89jdkAAAAwc5y2Ga0GpVt2GjqxQxTeXlnt7VvL01Ll4ZcReAGAAChyfbVSBD8Nmw09fsnqgZtScrLk37/hKkNG83maRgAAEAzszyyLbnnZX/wwQf65JNPlJ2drcLCwoq52pUZhqH169c35VDwU2Vl7hHtusydb2rwIKaUAACA0GM5bBcXF+vhhx/W1q1bawzYkjtk17YPweHLTFUb0T5Xbq67XFpv37QJAADAX1ieRvLGG29oy5Ytuvrqq7Vu3TrdcsstMgxDe/fu1Zo1azRlyhS1atVK999/v7755htvthl+5ET+2dvl5YX6OjNeX2fGq7y8sNZyAAAAocLyyPaaNWsUFxen559/XtHR0QoLc+f2yMhIXXzxxZoyZYoGDBige+65R8nJybrtttu81mj4j3ZtvVsOAAAgmFge2T58+LB69Oih6OhoSapYBrCsrKyiTJ8+fZSWlqalS5c2sZnwVz17uFcdqUtCgrscAABAqLEctsPCwhQTE1Pxsyd05+dXnS9w/vnn69ChQ1YPAz8XHm5oWnrdJz5OnWJwciQAAAhJlsP2+eefr2PHjlX8fNFFF0mSvvzyyyrlvv32W7Vu3drqYRAAhlxl6KlZhuLjq25PSJCemmWwzjYAAAhZluds9+zZU+vWrdOZM2fUsmVLDRkyRM8884yeeuopRUZG6oILLtDy5ct18OBBDR061Jtthh8acpWh3r0Mde7s/vlPzxoa0J8RbQAAENosj2zfcMMNatWqlTZv3ixJ6tSpk8aPH69jx45p4sSJuvXWW7VkyRK1bNlSM2bM8FqD4b8qB+tePQnaAAAAlke2r776am3atKnKtkcffVT/9m//pvXr1+vkyZPq3Lmzxo0bp86e4U4AAAAghDTpCpI1GTZsmIYNG+btagEAAICAY3kaCQAAAIC6EbYBAAAAmxC2AQAAAJsQtgEAAACbELYBAAAAm3h9NRJvyszMVEZGhvbs2aOSkhKlpKRo/PjxGjFiRIPuv3PnTq1fv17bt29XTk6OioqKlJiYqGuvvVYPP/yw2rRpY/NvAAAAgFDmt2F727Ztuv/++xUZGalhw4YpNjZW69at04wZM5STk6OJEyfWW8fUqVPldDp1+eWX65ZbbpFhGNq+fbsWLVqkdevW6S9/+YvatWvng98GAAAAocgvw3Zpaakef/xxGYahJUuWKDU1VZI0efJk3XXXXcrIyNCNN95Y78Vyxo8fr1tvvVUJCQkV20zT1H/913/p3Xff1fz58/Xkk0/a+asAAAAghPnlnO2tW7fq8OHDGj58eEXQlqSYmBhNmjRJpaWlWrVqVb31PPTQQ1WCtiQZhqFJkyZJknbs2OHdhgMAAACV+GXY3r59uyRp8ODB1fYNGjSoShkrIiLcA/rh4eGW6wAAAADq45dhOysrS5LUqVOnavvi4uLkcDiUnZ1tuf6VK1dKOhvcAQAAADv45Zxtl8slSYqNja1xf0xMjI4fP26p7v379+ull15Su3bt9MADD9RZNi4uTmFhvns/EhUVVXHb4XCodevW1B/EHA5HczcBPkA/hwb6OTTQz8HPjj72y7BtlyNHjujhhx9WWVmZXnjhBbVt27bO8gUFBT5qmVthYWHFbafTqeLiYuoPUg6HQ06ns7mbAZvRz6GBfg4N9HPwq6mPvRG+/TJsx8TESJJOnTpV436Xy1XrqHdtcnJyNH78eOXn5ysjI0MDBgxocjsBAACAuvjlnG3Pkn41zcsuKCiQ0+mscT53bY4ePapx48YpNzdXL774ooYOHeqtpgIAAAC18suw3bdvX0nSpk2bqu3bvHmzJKlfv34Nquvo0aO65557lJubq//5n//Rdddd572GAgAAAHXwy7A9cOBAJSUl6cMPP9T+/fsrtrtcLi1YsEAREREaNWpUxfb8/HwdPHhQ+fn5VerxBO0ff/xRL7zwgn7961/77HcAAAAA/HLOdkREhGbPnq0HHnhAY8aM0fDhwxUTE6N169bp6NGjmjZtmpKTkyvKL1myRPPnz9eUKVOUnp5esf2ee+5RTk6OevXqpW+//VbffvtttWNVLg8AAAB4k1+GbUkaMGCAli5dqnnz5mnt2rUqKSlRSkqKpk6dqpEjRzaojpycHEnSnj17tGfPnhrLELYBAABgF78N25LUo0cPLVq0qN5y6enpNYbmmkayAQAAAF/xyznbAAAAQDAgbAMAAAA2IWwDAAAANiFsAwAAADYhbAMAAAA2IWwDAAAANiFsAwAAADYhbAMAAAA2IWwDAAAANiFsAwAAADYhbAMAAAA2IWwDAAAANiFsAwAAADYhbAMAAAA2IWwDAAAANiFsAwAAADYhbAMAAAA2IWwDAAAANolo7gYAjVFWZurLTOlEvtSurdSzhxQebjR3swAAAGpE2EbA2LDR1IsZpvLyzm5r316ali4NuYrADQAA/A/TSBAQNmw09fsnqgZtScrLk37/hKkNG83maRgAAEAdCNvwe2Vl7hHtusydb6qsjMANAAD8C2Ebfu/LTFUb0T5Xbq67HAAAgD8hbMPvncg/e7u8vFBfZ8br68x4lZcX1loOAADAHxC24ffatfVuOQAAAF8hbMPv9ezhXnWkLgkJ7nIAAAD+hLANvxcebmhaet1L+02dYrDeNgAA8DuEbQSEIVcZemqWofj4qtsTEqSnZhmssw0AAPwSF7VBwBhylaHevQx17uz++U/PGhrQnxFtAADgvxjZRkCpHKx79SRoAwAA/0bYBgAAAGxC2AYAAABswpxtACHFNH17LF8er6ka29b6yjekvub4+zTmmA0p+8sv7i87jo+G8cXftGVL6fRp7z9+rJRtDr5oX33HiIiQoqPtb4e3EbbR7ExTKi+Xysrc3z23TVMqKzOq7HO5zs7RPno0TK1ahVU8OSs/SStvqxx4arpd08+1PeGtvtice7/YWOnkSd99sFTT36jyPtOsfe77ufepqy4rZRqrYQHOP+byx8ZKp07Z+zLr6zcPwVJHU+qr6flsdz/D+xrb73X1c0Prau7HbqCLiTHVt2+ZIiObuyWNw6sDvKa8/Ozt48cNtWxpVAnMJSVSaWnlL0Olpe79nsBd+avyNo8zZ8Irbu/bF64WLcJlGO6ynu+SZBhmtRchw6j5e01latvfEA25X1GR5HI13yyuutpY2z6rf4+G3rcx9TelLb5UVub+ChSG0fj/3PX1hb/1VWPb05DyLVtKJSWN+9v5298F9WvdWiorc/dzQ/vP2+WCWX1/g9OnpTNnjCqZIFAQtmGJabof+EVFhk6fNnTypHT8+NmH0549niDsefaYCgtzP5nCwqp+ubeZiow8d9vZL4/Tp8/+Q+vQoVytWgXgs05SmzZSq1YhNiQRgtq0cT+2EdzcIay5WwG7tWrlHjRC8/AM2AUiwjbq5QnWp08bOn1aOnnS0M8/u0P2L7+4P7IPD68aKDp2NP8VJgkaAAAgdBG2UYVpSmfOeEaspVOnDDmdlYO1FB7u/tg0OtqUw3F25K7yqDOAwFZebuq776WCAikuTrr0EiksjM+6AaCxCNshzDTdZ9AXFRn/mkNsKD/f0Jkzhs6ccc+VjoiQWrSoHKybu9UA7LZ7t6mly0w5nWe3ORzSmDultDQCNwA0BmE7RH3/fZhOnw7X6dNng3V4uDtYt2plKi7O/TOA0LJ7t6mXXqn+KZXTKb30iqnJEwMjcDMyD8BfELZD1MGDYXI4DLVsSbCujH/QCGXl5e4R7bq8u9xUr17+/bxgZB6APyFsh6j4eFNxccyxrox/0Ah1332vKo//muTnu8t17eKbNjVWsIzMAwgezMAFdPYf9LlBw/MPevdu3pgg+BUUnL1dXl6oQwccOnTAofLywlrL+ZOGjsyXl/N8BuA7hG2EPP5BA25xcd4t52uNGZkHAF8hbCPk8Q8acLv0EvfUqbq0besu548CfWQeQHAibCPk8Q8agaa83NQ335ratt393VufuoSFGRpzZ93zme++w/DbkyMDfWQeQHDiBEmEPP5BI5DYfSJvWpqhyROlxUul7Erb27Z1B21vnVxox8o/npH5uj6p8ueR+WDECk8AYRvgHzQChq9W2khLM9Sli6ERI9w/T/utoX/r7r0RbbveMLhH5lXj38jDn0fmgw0rPAFuTCNByAv0j84RGnx9Im/lx/ull3g3aNu58o97ZN7QeedV3d62rTR5ovdG5lE3VngCziJsA+IfNPxfMJzI66s3DGlphmb/19nn7LTfGprzNM9jX2GFJ6AqppEA/2L3R+dAU5x7Im/2/10oSep08VGFhbWusZy/8eVFc+wama/MMx+5uLhYUVEm85H/JRgujgR4E2EbqMQX/6ABK4LhRN5geMPgUXU+cpEk5iN7BFM/A97ANBIACACBvga2FBxvGCTmI9cnWPoZ8BbCNgAEgGA4kTcY3jAwH7l+wdDPgDcRtgEgQAT6ibzB8IYhGE5UrcyOCyQFQz8D3sScbQDwMjtPnAv0E3l9ddEcuwTTfGQ718EO9H4GvMmvw3ZmZqYyMjK0Z88elZSUKCUlRePHj9cIz3+ZBigvL9fSpUu1bNkyZWdnKzo6Wv3799f06dPVuXNn+xoPICT54sS5QD+RN5DfMPhyPrKdV1/0xQWSArmfAW/y27C9bds23X///YqMjNSwYcMUGxurdevWacaMGcrJydHEiRMbVM+TTz6p5cuXKyUlRWPHjtWJEye0Zs0abd68WX/5y1+UkpJi828CIFT46gqPwSBQ3zD46oqzdo46N3Teea9eTQ/3gdrPgDf55Zzt0tJSPf744zIMQ0uWLNHs2bP1yCOP6P3339cll1yijIwMZWVl1VvP1q1btXz5cvXp00erV6/WzJkzNWfOHL322mtyuVz64x//aPvvAsD/2DFPlRPnQoMv5iPbvdpJsM07R/Bzf8pjavceU1/sMVVWFlivo34Ztrdu3arDhw9r+PDhSk1NrdgeExOjSZMmqbS0VKtWraq3nhUrVkiSpk2bpqioqIrtAwcO1ODBg7Vjxw4dOnTI+78AAL+1e7epmY+Z+tPzpl5b5P4+8zECDBrOzhNVffGm7dx554cOOHTogEPl5YW1lgOai+c1e26GqXfeMfW7/zB1212mNmwMnMDtl2F7+/btkqTBgwdX2zdo0KAqZeqybds2RUdHKy0trdo+T907duxoSlMBBBA7RwwJMKHFrkvC++JNG+tgI1DU9pqdlyf9/onACdx+GbY9U0Q6depUbV9cXJwcDoeys7Or7ausqKhIeXl5uvDCCxUeHl5tv+fkyIZMRwEQ+OweMSTAhB475iP74k0b62AjEDTkNXvu/MCYUuKXJ0i6XC5JUmxsbI37Y2JidPz48TrrOHXqVEXZ2uqofKyaxMXFKSzMd+9HHA6HTNO+B43D4ZDLZWrjRqlNG6llS+/W36ZNG+3cae+D3u5j2F2/y+XS1Ve7H9evvuZUr55xCg/37glDp08X6sor3Y/vzz93qVWr1vXcIzTq/2pfiZxOd2Cpbcm2/HzpaE60uneLbHT9l6eZatfulPLzyxUW1lrJKVWHYgxDats2TJenxTa5z3muNX/9dh2jQ4cSSe7HaU2Po7PlotWmTeMfpx4T7i3WCy8WKTy86jGMfz007xsfrfPOi6rl3g1ndz/Y/Xrki2MEev12HaO21+xLU7MrXrNzc6X/OxSrfn2tPxfO5ajvnagFfhm2/UVBM33e63A45Kzvc0SLCgulU6ciZBimiottOQRqsXu3qcVLz765e/rZQrVrJ42507trzp4+fXYE7OTJkyopKfNa3YFc/7FjZ//h1xVijh0r0kVJ1vrjrttNvfRKzftM072/sPCUpbrhv9q0aaOTJ096pa4LE80GrXZyYWKRTp60/rqRepk06WGjxhVP7r7DUOplZ3Ty5BnL9fuK3a9HvjhGoNdv1zHOfc3udLFTZrmhsLDSKuWysk/pkhTv/A+tKX95I3z7Zdj2jDp7RqfP5XK5ah319vDsr23k2rO9tpFvwJs8887Ky6tuZ0k43/HFNA/PhTzODTBcyAMN5V7tRDUuIenhrasvpqUZ6tVLtq3lDTRFQ1+L27W1tx3e4Jdh2zOfOjs7W927d6+yr6CgQE6nU717966zjujoaLVv315Hjx5VWVlZtXnbnrnaXNgGdvPlmraona/WR64cYIqLWykq6jQBBo3iyzdtYWGGunbxWnWA1zTkNTshQerZw3dtssovT5Ds27evJGnTpk3V9m3evFmS1K9fv3rr6devn4qKirR79+5q+zx1e44F2IUl4fyDL9ZHrnysrl0MDR4Upa5duJAHGi8tzdBzzxj6j//P0EMPuL97Y7UT+J/KJ2V/97331+K3u367NOQ1e+oUw+vnPdnBL8P2wIEDlZSUpA8//FD79++v2O5yubRgwQJFRERo1KhRFdvz8/N18OBB5efnV6nnjjvukCS9+OKLKq40QXnLli3atGmT+vbtq+TkZJt/G4S6ylP/PXOFk1OcFSd41FQO9vCsj3zuFDxvrI8MeJvnTVv/fgZv2oLU7t2mHn/ybPh9cZ531v33Vf12q+01OyFBemqWoSFXBcZzwi+nkURERGj27Nl64IEHNGbMGA0fPlwxMTFat26djh49qmnTplUJyUuWLNH8+fM1ZcoUpaenV2wfMGCAbr/9dq1YsUKjRo3SkCFDKi7XHhMTwxUk4RMsCedfmKcKBI9zR23/rbsZMM9lu8/lCZZzhTyv2Zl7pZ9OGBo8yFDfPgqIEW0PvwzbkjsoL126VPPmzdPatWtVUlKilJQUTZ06VSNHjmxwPbNmzVKXLl20bNkyLV68WNHR0Ro6dKimT5/OqDZ8wldzhdFwzFMFAp97haeqo7bt2pkac6f/h0i7z+Xx9blCdr/pCQszdOkl0kVJhnr3MlTD5VP8mt+GbUnq0aOHFi1aVG+59PT0KiPalYWFhWncuHEaN26ct5sHNIgvVxcAgFAQ6KO2jTmXx8rAgN31VxbIb3p8xS/nbAPBhrnCAOAddl8N1hfsPpfHV+cKed70/Pxz1e2eNz2BMjfcbn49sg0EE5aEA4Cm8+WorV3sPpfHF+cKsaxtwxG2AR/yzBVu0yYqIK7O1hwC+YQnAParadS2vnL+xu5zeXxxrlAwvOnxFaaRAPAbgb5MFQD7BcMKT3av+++L6wqwrG3DEbYB+AXm/gFoCM+obV28ucKTXReFsftcHrvrD4Y3Pb7CNBIAzY65fwAaypcrPNm90obd6/7bWT/L2jYcI9sAGsWOUR4uaQ+gMXyxwpOvPm2z+0qhdtXvi6kqwYKRbQANZtcoTzCc8ATAt+wcteXTtoZxv+mRli4zqwyYtG3rDtosa+tG2AbQIHZeRIK5fwCssOtqsKy00XB2T4UJBoRtIMjYsXSe3aM8zP0D4E/4tK1x7HrTEyyYsw0EEbuWzrN7TjVz/wD4Ez5tgzcRtoEgYefJPL5YT5VL2gPwF75eXhDBjWkkIaqw0JBhmIqKau6WwBvsnubhq1Ee5v4B8Ae+XF4QwY+wHWKioqSEhHIVFITp558NlZRIkqGoKFMtW5pq0UIE8ABk98k8vpxTzdw/AP6AlTbgLYTtEBMZKfXsWa7S0nIVFUlFRYaKigz9/LPkcoXp55+lkhLJMAxFRppq1codwCMjm7vlqIvdJ/MwygMgFFX+tK24uJWiok7zaRsajbAdoiIipDZtpDZtTEnuAFVSUq7Tp88G8Px8Q4WFhpxOqbhYCgtzj3q3bGmqZUt3HfAPvpjmwSgPgFDk+bStTZsonTx5prmbgwBEXEKFyEj3lyeAX3yxe5T79Gn3HO+iIkNOpyGXy9CJE1JpqWQYUosWUosWBPDm5KtpHsypBgCgcYhGqNO5AVxyj3KfPm2oqEj/Gvl2j4D/9JM7gIeFuUO3Ybhvn/0ya9h2tpxBXrPMl9M8mFMNAEDDEbbRaFFRUlSU+a8pCWcDuHv6iTuAnznjDt5lZe6TMMvKDJWXGyork8rLJdOUysrc9ZWVuX+Wzn53M2QYkmmaNQb0ilJG1e/n3j67zay1fE33sxr+G3K/iAj3JwbedNllhh64T1q+suryfw6HdPtoQ5ddZlQcs6421ravKW+GGnLfxtQfKG/MysrOPs4DgZW/a333CZS+AgC7ELbhFZ4Aft55kieAn6u8XBVh2/Pd/WVU2+YO4EZFWCktPftVUmJUBBjTPPtVmXubUXHbzahS9tz71Rz4q9frDeHh7k8HvK1LF0P/+YipQ4ekk6ekNrFScrJ7NLqoqOb71PY7NXa7tzX2OFbbZefvU1QkuVzBkza98bdqTB21BXVvtKNy3Q2tz3Ofc8sXFARXP6Nm/tDPvnr9rY2v3zxXPl55uRQb69vjewthGz7jGZWurrZXj6a/qtQVphu6z+rx6uKeX11q7SANcOWV1sKyN+/T2DJWeN5QNe4+NjSkFuedJ/38c+AMbXv7DU5zPja8cayGlm9sPzd3YApGvvibevq5Mceyq2xz8If2hYcH5vLEhG0ENW9MC7FDy5buLzSVH7z618F9BTr/biOazuFwf7KH4OZwuFfjAhqLy7UDAAAANiFsAwAAADYhbAMAAAA2IWwDAAAANiFsAwAAADYhbAMAAAA2IWwDAAAANiFsAwAAADYhbAMAAAA2IWwDAAAANiFsAwAAADYhbAMAAAA2IWwDAAAANiFsAwAAADYhbAMAAAA2IWwDAAAANiFsAwAAADYxTNM0m7sRAAAAQDBiZBsAAACwCWEbAAAAsAlhGwAAALAJYRsAAACwCWEbAAAAsElEczcAbpmZmcrIyNCePXtUUlKilJQUjR8/XiNGjGjupsFLrrnmGuXk5NS4784779SsWbN83CJY9f7772vXrl366quv9N1336mkpETPPPOMRo8eXWN5l8uljIwMrVu3Tnl5eWrfvr2uv/56paenKyYmxsetR0M1pp8zMjI0f/78GuuJiorS3r177W4uLPjxxx+1du1abdy4Uf/3f/+nn376SXFxcUpLS9MDDzygnj17VrsPz+fA0tg+tuO5TNj2A9u2bdP999+vyMhIDRs2TLGxsVq3bp1mzJihnJwcTZw4sbmbCC+JjY3V+PHjq23v3r17M7QGVs2dO1c5OTlyOBxKSEio9U2UJBUVFWns2LHav3+/Bg0apGHDhumbb77Rm2++qW3btmnp0qWKjo72YevRUI3pZ49Ro0YpMTGxyrbw8HC7mogmWrx4sRYuXKiLLrpIV1xxhdq1a6fs7GytX79e69ev1/PPP6+bb765ojzP58DT2D728Opz2USzKikpMa+77jqze/fu5r59+yq2nzp1yhw2bJiZmppqHjp0qPkaCK8ZOnSoOXTo0OZuBrxg8+bN5tGjR03TNM1XX33VvPTSS82VK1fWWHbu3LnmpZdeTxfSugAACltJREFUaj733HM1bp87d67t7YU1jennefPmmZdeeqm5detWXzYRTfSPf/zD3LFjR7XtO3bsMLt162b269fP/OWXXyq283wOPI3tYzuey8zZbmZbt27V4cOHNXz4cKWmplZsj4mJ0aRJk1RaWqpVq1Y1YwsBnOuKK66oNuJRE9M0tWLFCkVHR2vy5MlV9j388MOKi4vTX//6V5lcW8wvNbSfEbiuv/569enTp9r2Pn36qH///vr555/17bffSuL5HKga08d2YRpJM9u+fbskafDgwdX2DRo0qEoZBL7i4mKtXr1aP/74o9q0aaO0tDR17dq1uZsFm2RlZSk3N1eDBw+u9tFyixYt1KdPH33yySfKzs5W586dm6eR8KqdO3cqMzNT4eHhuvjii3XFFVcoKiqquZsFCyIiIqp85/kcfM7t48q8+VwmbDezrKwsSVKnTp2q7YuLi5PD4VB2draPWwW75OXl6dFHH62y7corr9Rzzz2ntm3bNlOrYBfPc7e2f7ye5z3/nIPHvHnzqvzcvn17zZkzp2LwBIHhhx9+0D//+U+1b99el156qSSez8Gmpj6uzJvPZaaRNDOXyyXJfeJcTWJiYnTq1ClfNgk2GT16tBYvXqwtW7Zo165dWr78/2/vzkKq+Ps4jn80j5VJi5ZUp6goXDLatSIIKRNpEaUsW5GoiyJoj8pu7MoKb3KhoJWs6ImKwnZMKoNosbJFkyLJpeUi046WRp7n4o+Hx79W+uQ453jer8vfzMh3+PHlfJz5zcx/NG3aNN25c0dr1qzh1mMn1Ni7v3pDQeM4Pe76QkJCtHv3bt28eVMFBQW6fv261q1bp69fv2r16tUqKioyu0S00o8fP7R161bV19dr8+bNjofi6OfO41dzLBnTy4RtoIOsXbtW4eHh8vPzk6+vr8aMGaMDBw5owoQJevz4sW7dumV2iQD+T5GRkYqNjZXValXXrl01ZMgQrVmzRklJSaqrq1NmZqbZJaIVGhoatGPHDj148EALFixQbGys2SWhnf1pjo3oZcK2yf70n7DNZvvlVW+4Pk9PT8c7e/Pz802uBu2tsXcb72D925/ubMH1xcbGysvLi/52AXa7XTt37tTFixcVExOj5OTkJtvpZ9f3pzn+nb/pZcK2yRrXdbW0LruqqkqVlZUtrudG59GnTx9J0rdv30yuBO2tsXcbn834t8a+p8c7L29vb/Xo0UPfv383uxT8RuPVzrNnz2rOnDlKSUmRp2fTiEQ/u7bWzPHv/E0vE7ZNFhYWJknKy8trtu3u3buSpPDw8A6tCR2roKBAknjFWCc0dOhQBQQEKD8/X7W1tU221dXV6eHDhwoICODHuRMrKSlRVVUV/e3EGhoalJSUpHPnzmnWrFnas2dPix8voZ9dV2vn+Hf+ppcJ2yabMmWKBg8erOzsbBUWFjrGbTabMjMz5eXlpbi4OBMrRHt4/fq1qqurm40/fPhQR44ckbe3t6KiokyoDEby8PBQfHy8amtrlZGR0WTbgQMHVFVVpfj4eHl4eJhUIdqDzWZr8aGpqqoqJSUlSZJmz57d0WWhFf43hEVHR2vv3r2/DGH0s2tqyxwb1csedl6BYLp79+5p5cqVslgsmjNnjnx9fXX9+nWVlZVp/fr1Wr16tdkl4i+lpaXp4MGDmjJliqxWq7y9vVVcXKy7d+/K09NTycnJio+PN7tMtNKZM2f06NEjSVJxcbFevHih8ePHO65oRUZGKjIyUtI/n3devHix4/POoaGhKioq0u3btxUSEsLnnZ1Ya+e5rKxMM2bM0KhRoxQYGCh/f399/PhRt2/f1pcvXzR16lTt37+f9207obS0NKWnp8vHx0fLly9v8X3LkZGRCgkJkUQ/u6K2zLFRvcx7tp3A5MmTdfLkSe3bt09XrlzRjx8/NGLECK1bt04xMTFml4d2MGnSJL1580YvX77U/fv3VV9fL39/f82aNUuJiYkaPXq02SWiDR49eqTz5883GcvPz3c8OGO1Wh1h28fHR8ePH1d6erquXbum+/fvq2/fvkpMTNTatWv5YXZirZ3n3r17a8mSJXry5Ilyc3P19etXde/eXYGBgYqJiVF8fHybb1mjY5SXl0v6J0Tv37+/xX2sVqsjbNPPrqctc2xUL3NlGwAAADAIa7YBAAAAgxC2AQAAAIMQtgEAAACDELYBAAAAgxC2AQAAAIMQtgEAAACDELYBAAAAgxC2AQAAAIMQtgEAAACDELYBwA0EBQVp+vTpZpcBAG6HsA0AAAAYhLANAAAAGISwDQAAABjEy+wCAADmsNvtunTpknJycvTy5Ut9/PhRHh4eGj58uOLi4rRo0SJ5eja/JlNTU6P09HRdvnxZlZWVGjRokBISErRs2TIFBwfLarXq5s2bJpwRADgfwjYAuKn6+npt2rRJvXr10vDhwzVy5EhVVlbqyZMn2rVrl549e6aUlJQmx9TV1SkxMVEFBQXy8/NTRESEamtrtWfPHr17986kMwEA50XYBgA31aVLF6WlpSkiIkLe3t6O8c+fP2vVqlU6f/685s2bp7CwMMe2Q4cOqaCgQOPGjdPBgwfl6+srSSoqKtLy5cs7/BwAwNmxZhsA3JSXl5eioqKaBG1J8vPz06ZNmyRJOTk5TbadPn1akrRt2zZH0Jak4OBgLV261OCKAcD1cGUbANxcYWGh8vLyVFFRoe/fv8tut6umpkaSVFJS4tivoqJCHz58UP/+/TV27Nhmfyc6OloZGRkdVTYAuATCNgC4qfr6em3fvl3Z2dm/3KcxdEvSp0+fJEkDBgxocd+BAwe2b4EA0AkQtgHATR09elTZ2dkKDAzUli1bFBoaqp49e8pisejt27eKjo42u0QAcHmEbQBwUzdu3JAkpaamKjAwsMm20tLSZvv369dPkvT+/fsW/15FRUU7VwgAro8HJAHATVVXV0tqeVnIlStXmo1ZrVYFBATow4cPevr0abPt165da/8iAcDFEbYBwE0NHTpUknTq1Kkm41evXtWFCxdaPGbhwoWSpJSUFNlsNsd4cXGxsrKyjCkUAFwYy0gAwE2tXLlSd+7cUWpqqq5evaphw4appKREz58/14oVK3T48OEWj8nNzVV+fr5mzpyp8PBw1dbW6t69e1qwYIGysrJksVhMOBsAcE5c2QYANxUWFqaTJ09q8uTJKisrU25uriwWi9LS0rRkyZIWj+nWrZuOHTumxMREWSwW5eTkqLS0VBs3btSqVaskSb179+7I0wAAp+Zht9vtZhcBAHB9ly9f1oYNG5SQkKDk5GSzywEAp8CVbQBAmxQWFqqhoaHJ2KtXr7R3715J0ty5c80oCwCcEmu2AQBtsmHDBtlsNgUFBalnz54qLy/X8+fP9fPnTyUkJGjixIlmlwgAToNlJACANjlx4oQuXbqkkpISVVdXq1u3bgoKCtL8+fMVFxdndnkA4FQI2wAAAIBBWLMNAAAAGISwDQAAABiEsA0AAAAYhLANAAAAGISwDQAAABiEsA0AAAAYhLANAAAAGISwDQAAABjkv+5me8wRgqqSAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "acf_plot(y, lag=25);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we know how to calculate our ACF and upper and lower bounds, we can use a library to do it for us."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from statsmodels.graphics.tsaplots import acf, plot_acf\n",
    "acf_stats = acf(y)\n",
    "plot_acf(y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.4 Residuals Correlogram"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are finally ready to do the *correlogram* for the residuals of our UK drivers data and, most importantly, to analyze it.\n",
    "\n",
    "The main idea is that if residuals are randomly distributed (what we want them to be), then they are independent of one another. It is shown in the correlogram in all the bars that do not exceed our confidence limits. We are going to use what we have learned so far."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(residuals);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It doesn't look that nice; there are quite a few number of bars that exceed the blue shadowed area. We can see that $k=1$, $k=2$, $k=11$, $k=12$ and $k=13$ are outside of those limits ($k=0$ is always 1 as we showed above when calculating the ACF manually, because it is the correlation of each point with itself). We say that these are significantly different from zero, and this shows that we violated the assumption that errors are randomly distributed when we used a classical linear regression. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4. Conclusions\n",
    "\n",
    "We have set up two different models that fundamentally do the same thing: they use time as an explanatory variable, and they linearly model its relationship with the log number of UK drivers KSI. The first approach was a classical linear regression model fitted using the standard least-squares method. The second one was our first Bayesian model, expanding on the idea of point estimates to posterior (and prior) distributions. Nevertheless, the results are not satisfactory. Our residuals are far from randomly distributed, which is a consequence of our observations not being independent of each other. We need new tools to solve this problem. Essentially, there is an underlying dynamic evolution that cannot be observed and we are unable to model it. This is where state-space models come in. The state describes precisely the unobserved dynamic process over time. In the next article, we will be setting up our first state-space model!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# References\n",
    "\n",
    "[1] J. Commandeur, S. Koopman, An Introduction to State Space Time Series Analysis (2007), Oxford University Press\n",
    "\n",
    "[2] https://en.wikipedia.org/wiki/Bayes%27_theorem\n",
    "\n",
    "[3] https://www.real-statistics.com/time-series-analysis/stochastic-processes/autocorrelation-function/"
   ]
  }
 ],
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